Precalculus: A Unit Circle Approach (3rd Edition)
3rd Edition
ISBN: 9780134433042
Author: J. S. Ratti, Marcus S. McWaters, Leslaw Skrzypek
Publisher: PEARSON
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Chapter 10.4, Problem 60E
To determine
(a)
To calculate:
The instantaneous rate of change of concentration of salt after 5 gallons of water has been pumped and the find whether the concentration of salt is increasing or decreasing.
To determine
(b)
To calculate:
The instantaneous rate of change of concentration of salt after 10 gallons of water has been pumped and the find whether the concentration of salt is increasing or decreasing.
To determine
(c)
To explain:
The situation in which the concentration of salt in the solution changing most rapidly.
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Question 4 (5pt): The Orchard Problem. Below is the graph y
f(t) of
the annual harvest (assumed continuous) in kg/year from my cranapple orchard t
years after planting. The trees take about 25 years to get established, and from
that point on, for the next 25 years, they give a fairly good yield. But after 50
years, age and disease are taking their toll, and the annual yield is falling off.
40
35
30
。 ៣៩ ថា8 8 8 8 6
25
20
15
10
y
5
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0 5 10 15 20 25 30 35 40 45 50 55 60
The orchard problem is this: when should the orchard be cut down and re-
planted, thus starting the cycle again? What you want to do is to maximize your
average harvest per year over a full cycle. Of course there are costs to cutting the
orchard down and replanting, but it turns out that we can ignore these. The first
cost is the time it takes to cut the trees down and replant but we assume that this
can effectively be done in a week, and the loss of time is negligible. Secondly there
is the cost of the labour to cut…
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ave a
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ave an
48. The domain of f
y=f'(x)
x
1
2
(=
x<0
x<0
= f(x)
possible.
Group Activity In Exercises 49 and 50, do the following.
(a) Find the absolute extrema of f and where they occur.
(b) Find any points of inflection.
(c) Sketch a possible graph of f.
49. f is continuous on [0,3] and satisfies the following.
X
0
1
2
3
f
0
2
0
-2
f'
3
0
does not exist
-3
f"
0
-1
does not exist
0
ve
tes where
X
0 < x <1
1< x <2
2
Numerically estimate the value of limx→2+x3−83x−9, rounded correctly to one decimal place.
In the provided table below, you must enter your answers rounded exactly to the correct number of decimals, based on the Numerical Conventions for MATH1044 (see lecture notes 1.3
Actions
page 3). If there are more rows provided in the table than you need, enter NA for those output values in the table that should not be used.
x→2+
x3−83x−9
2.1
2.01
2.001
2.0001
2.00001
2.000001
Chapter 10 Solutions
Precalculus: A Unit Circle Approach (3rd Edition)
Ch. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Prob. 8ECh. 10.1 - In Exercises 9-14, complete each table and use the...Ch. 10.1 - Prob. 10E
Ch. 10.1 - Prob. 11ECh. 10.1 - Prob. 12ECh. 10.1 - Prob. 13ECh. 10.1 - Prob. 14ECh. 10.1 -
In Exercises 15-30, make a table to find each...Ch. 10.1 - Prob. 16ECh. 10.1 - Prob. 17ECh. 10.1 - Prob. 18ECh. 10.1 - Prob. 19ECh. 10.1 - Prob. 20ECh. 10.1 -
In Exercises 15-30, make a table to find each...Ch. 10.1 - Prob. 22ECh. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 -
In Exercises 15-30, make a table to find each...Ch. 10.1 - Prob. 26ECh. 10.1 -
In Exercises 15-30, make a table to find each...Ch. 10.1 - Prob. 28ECh. 10.1 - Prob. 29ECh. 10.1 - Prob. 30ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 32ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 34ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 36ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 38ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 40ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 42ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 44ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 46ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 48ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 50ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 54ECh. 10.1 - Prob. 55ECh. 10.1 - Prob. 56ECh. 10.1 - Prob. 57ECh. 10.1 - Prob. 58ECh. 10.1 - Prob. 59ECh. 10.1 - Prob. 60ECh. 10.1 - Prob. 61ECh. 10.1 - Prob. 62ECh. 10.1 - Prob. 63ECh. 10.1 - Prob. 64ECh. 10.1 - Prob. 65ECh. 10.1 - Prob. 66ECh. 10.1 - Prob. 67ECh. 10.1 - Prob. 68ECh. 10.1 - Prob. 69ECh. 10.1 - Prob. 70ECh. 10.1 -
In Exercises 59-76, sketch the graph of each...Ch. 10.1 - Prob. 72ECh. 10.1 -
In Exercises 59-76, sketch the graph of each...Ch. 10.1 - Prob. 74ECh. 10.1 - Prob. 75ECh. 10.1 - Prob. 76ECh. 10.1 - Prob. 77ECh. 10.1 - Prob. 78ECh. 10.1 - Prob. 79ECh. 10.1 - Prob. 80ECh. 10.1 - Prob. 81ECh. 10.1 - Prob. 82ECh. 10.1 - Prob. 83ECh. 10.1 - Prob. 84ECh. 10.1 - Prob. 85ECh. 10.1 - Prob. 86ECh. 10.1 - Prob. 87ECh. 10.1 - Prob. 88ECh. 10.1 - Prob. 89ECh. 10.1 - Prob. 90ECh. 10.1 - Prob. 91ECh. 10.1 - Prob. 92ECh. 10.1 - Prob. 93ECh. 10.1 - Prob. 94ECh. 10.1 - Prob. 95ECh. 10.1 - Prob. 96ECh. 10.1 - Prob. 97ECh. 10.1 - Prob. 98ECh. 10.1 - Prob. 99ECh. 10.1 - Prob. 100ECh. 10.1 - Prob. 101ECh. 10.1 - Prob. 102ECh. 10.1 - Prob. 103ECh. 10.2 - Prob. 1ECh. 10.2 - Prob. 2ECh. 10.2 - Prob. 3ECh. 10.2 - Prob. 4ECh. 10.2 - Prob. 5ECh. 10.2 - Prob. 6ECh. 10.2 - Prob. 7ECh. 10.2 - Prob. 8ECh. 10.2 - Prob. 9ECh. 10.2 - Prob. 10ECh. 10.2 - Prob. 11ECh. 10.2 - Prob. 12ECh. 10.2 - Prob. 13ECh. 10.2 - Prob. 14ECh. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 18ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 20ECh. 10.2 - Prob. 21ECh. 10.2 - Prob. 22ECh. 10.2 - Prob. 23ECh. 10.2 - Prob. 24ECh. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - Prob. 27ECh. 10.2 - Prob. 28ECh. 10.2 - Prob. 29ECh. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Prob. 32ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 34ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 36ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 38ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 40ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 42ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 44ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 46ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 48ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 50ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 52ECh. 10.2 - In Exercises 53-64, for each function f, form the...Ch. 10.2 - Prob. 54ECh. 10.2 - In Exercises 53-64, for each function f, form the...Ch. 10.2 - Prob. 56ECh. 10.2 - In Exercises 53-64, for each function f, form the...Ch. 10.2 - Prob. 58ECh. 10.2 - Prob. 59ECh. 10.2 - Prob. 60ECh. 10.2 - Prob. 61ECh. 10.2 - Prob. 62ECh. 10.2 - Prob. 63ECh. 10.2 - Prob. 64ECh. 10.2 - Prob. 65ECh. 10.2 - Prob. 66ECh. 10.2 - Prob. 67ECh. 10.2 - Prob. 68ECh. 10.2 - Prob. 69ECh. 10.2 - Prob. 70ECh. 10.2 - Prob. 71ECh. 10.2 - Prob. 72ECh. 10.2 - Prob. 73ECh. 10.2 - Prob. 74ECh. 10.2 - Prob. 75ECh. 10.2 - Prob. 76ECh. 10.2 - Prob. 77ECh. 10.2 - Prob. 78ECh. 10.2 - Prob. 79ECh. 10.2 - Prob. 80ECh. 10.2 - Prob. 81ECh. 10.2 - Prob. 82ECh. 10.2 - Prob. 83ECh. 10.2 - Prob. 84ECh. 10.2 - Prob. 85ECh. 10.2 - Prob. 86ECh. 10.2 - Prob. 87ECh. 10.2 - Prob. 88ECh. 10.2 - Prob. 89ECh. 10.2 - Prob. 90ECh. 10.2 - Prob. 91ECh. 10.2 - Prob. 92ECh. 10.2 - Prob. 93ECh. 10.2 - Prob. 94ECh. 10.2 - Prob. 95ECh. 10.2 - Prob. 96ECh. 10.2 - Prob. 97ECh. 10.2 - Prob. 98ECh. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.3 - Prob. 6ECh. 10.3 - Prob. 7ECh. 10.3 - Prob. 8ECh. 10.3 -
For Exercises 9-16, use the following graph of y...Ch. 10.3 - Prob. 10ECh. 10.3 - Prob. 11ECh. 10.3 - Prob. 12ECh. 10.3 - Prob. 13ECh. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 -
In Exercises 17-28, find each limit. Use and...Ch. 10.3 - Prob. 18ECh. 10.3 -
In Exercises 17-28, find each limit. Use and...Ch. 10.3 - Prob. 20ECh. 10.3 - Prob. 21ECh. 10.3 - Prob. 22ECh. 10.3 - Prob. 23ECh. 10.3 - Prob. 24ECh. 10.3 - Prob. 25ECh. 10.3 - Prob. 26ECh. 10.3 - Prob. 27ECh. 10.3 - Prob. 28ECh. 10.3 - Prob. 29ECh. 10.3 - Prob. 30ECh. 10.3 - Prob. 31ECh. 10.3 - Prob. 32ECh. 10.3 -
In Exercises 29-36, describe the behavior of each...Ch. 10.3 - Prob. 34ECh. 10.3 -
In Exercises 29-36, describe the behavior of each...Ch. 10.3 - Prob. 36ECh. 10.3 - In Exercises 37—40, find the limit of each...Ch. 10.3 - Prob. 38ECh. 10.3 - In Exercises 37—40, find the limit of each...Ch. 10.3 - Prob. 40ECh. 10.3 -
In Exercises 41-64, evaluate each limit.
41.
Ch. 10.3 - Prob. 42ECh. 10.3 -
In Exercises 41-64, evaluate each limit.
43.
Ch. 10.3 - Prob. 44ECh. 10.3 -
In Exercises 41-64, evaluate each limit.
45.
Ch. 10.3 - Prob. 46ECh. 10.3 -
In Exercises 41-64, evaluate each limit.
47.
Ch. 10.3 - Prob. 48ECh. 10.3 -
In Exercises 41-64, evaluate each limit.
49.
Ch. 10.3 - Prob. 50ECh. 10.3 -
In Exercises 41-64, evaluate each limit.
51.
Ch. 10.3 - Prob. 52ECh. 10.3 -
In Exercises 41-64, evaluate each limit.
53.
Ch. 10.3 - Prob. 54ECh. 10.3 -
In Exercises 41-64, evaluate each limit.
55.
Ch. 10.3 - Prob. 56ECh. 10.3 - Prob. 57ECh. 10.3 - Prob. 58ECh. 10.3 - Prob. 59ECh. 10.3 - Prob. 60ECh. 10.3 - Prob. 61ECh. 10.3 - Prob. 62ECh. 10.3 - Prob. 63ECh. 10.3 - Prob. 64ECh. 10.3 - Prob. 65ECh. 10.3 - Prob. 66ECh. 10.3 - Prob. 67ECh. 10.3 - Prob. 68ECh. 10.3 - Prob. 69ECh. 10.3 - Prob. 70ECh. 10.3 - Prob. 71ECh. 10.3 - Prob. 72ECh. 10.3 - Prob. 73ECh. 10.3 - Prob. 74ECh. 10.3 - Prob. 75ECh. 10.3 - Prob. 76ECh. 10.3 - Prob. 77ECh. 10.3 - Prob. 78ECh. 10.3 - Prob. 79ECh. 10.3 - Prob. 80ECh. 10.3 - Prob. 81ECh. 10.3 - Prob. 82ECh. 10.3 - Prob. 83ECh. 10.3 - Prob. 84ECh. 10.3 - Prob. 85ECh. 10.3 - Prob. 86ECh. 10.3 - Prob. 87ECh. 10.3 - Prob. 88ECh. 10.3 - Prob. 89ECh. 10.3 - Prob. 90ECh. 10.3 - Prob. 91ECh. 10.3 - Prob. 92ECh. 10.4 - Prob. 1ECh. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10.4 - Prob. 7ECh. 10.4 - Prob. 8ECh. 10.4 - Prob. 9ECh. 10.4 - Prob. 10ECh. 10.4 - Prob. 11ECh. 10.4 - Prob. 12ECh. 10.4 - Prob. 13ECh. 10.4 - Prob. 14ECh. 10.4 - Prob. 15ECh. 10.4 - Prob. 16ECh. 10.4 - Prob. 17ECh. 10.4 - Prob. 18ECh. 10.4 - Prob. 19ECh. 10.4 - Prob. 20ECh. 10.4 - Prob. 21ECh. 10.4 - Prob. 22ECh. 10.4 - Prob. 23ECh. 10.4 - Prob. 24ECh. 10.4 - Prob. 25ECh. 10.4 - Prob. 26ECh. 10.4 - Prob. 27ECh. 10.4 - Prob. 28ECh. 10.4 - Prob. 29ECh. 10.4 - Prob. 30ECh. 10.4 - Prob. 31ECh. 10.4 - Prob. 32ECh. 10.4 - Prob. 33ECh. 10.4 - Prob. 34ECh. 10.4 - Prob. 35ECh. 10.4 - Prob. 36ECh. 10.4 - Prob. 37ECh. 10.4 - Prob. 38ECh. 10.4 - Prob. 39ECh. 10.4 - Prob. 40ECh. 10.4 - Prob. 41ECh. 10.4 - Prob. 42ECh. 10.4 - Prob. 43ECh. 10.4 - Prob. 44ECh. 10.4 - Prob. 45ECh. 10.4 - Prob. 46ECh. 10.4 - Prob. 47ECh. 10.4 - Prob. 48ECh. 10.4 - Prob. 49ECh. 10.4 - Prob. 50ECh. 10.4 - Prob. 51ECh. 10.4 - Prob. 52ECh. 10.4 - Prob. 53ECh. 10.4 - Prob. 54ECh. 10.4 - Prob. 55ECh. 10.4 - Prob. 56ECh. 10.4 - Instantaneous Rate of Change. Air is being pumped...Ch. 10.4 - Prob. 58ECh. 10.4 - Prob. 59ECh. 10.4 - Prob. 60ECh. 10.4 - Prob. 61ECh. 10.4 - Prob. 62ECh. 10.4 - Prob. 63ECh. 10.4 - Prob. 64ECh. 10.4 - Prob. 65ECh. 10.4 - Prob. 66ECh. 10.4 - Prob. 67ECh. 10.4 - Prob. 68ECh. 10.4 - Prob. 69ECh. 10.4 - Prob. 70ECh. 10.4 - Prob. 71ECh. 10.4 - Prob. 72ECh. 10.4 - Prob. 73ECh. 10.4 - Prob. 74ECh. 10.4 - Prob. 75ECh. 10.4 - Prob. 76ECh. 10.4 - Prob. 77ECh. 10.4 - Prob. 78ECh. 10.5 - Prob. 1ECh. 10.5 - Prob. 2ECh. 10.5 - Prob. 3ECh. 10.5 - Prob. 4ECh. 10.5 - Prob. 5ECh. 10.5 - Prob. 6ECh. 10.5 - Prob. 7ECh. 10.5 - Prob. 8ECh. 10.5 - Prob. 9ECh. 10.5 - Prob. 10ECh. 10.5 - Prob. 11ECh. 10.5 - Prob. 12ECh. 10.5 - Prob. 13ECh. 10.5 - Prob. 14ECh. 10.5 - Prob. 15ECh. 10.5 - Prob. 16ECh. 10.5 - Prob. 17ECh. 10.5 - Prob. 18ECh. 10.5 - Prob. 19ECh. 10.5 - Prob. 20ECh. 10.5 - Prob. 21ECh. 10.5 - Prob. 22ECh. 10.5 - Prob. 23ECh. 10.5 - Prob. 24ECh. 10.5 - Prob. 25ECh. 10.5 - Prob. 26ECh. 10.5 - Prob. 27ECh. 10.5 - Prob. 28ECh. 10.5 - Prob. 29ECh. 10.5 - Prob. 30ECh. 10.5 - Prob. 31ECh. 10.5 - Prob. 32ECh. 10.5 - Prob. 33ECh. 10.5 - Prob. 34ECh. 10.5 - Prob. 35ECh. 10 - Prob. 1RECh. 10 - Prob. 2RECh. 10 - Prob. 3RECh. 10 - Prob. 4RECh. 10 - Prob. 5RECh. 10 - Prob. 6RECh. 10 - Prob. 7RECh. 10 - Prob. 8RECh. 10 - Prob. 9RECh. 10 - Prob. 10RECh. 10 - Prob. 11RECh. 10 - Prob. 12RECh. 10 - Prob. 13RECh. 10 - Prob. 14RECh. 10 - Prob. 15RECh. 10 - Prob. 16RECh. 10 - Prob. 17RECh. 10 - Prob. 18RECh. 10 - Prob. 19RECh. 10 - Prob. 20RECh. 10 - Prob. 21RECh. 10 - Prob. 22RECh. 10 - Prob. 23RECh. 10 - Prob. 24RECh. 10 - Prob. 25RECh. 10 - Prob. 26RECh. 10 - Prob. 27RECh. 10 - Prob. 28RECh. 10 - Prob. 29RECh. 10 - Prob. 30RECh. 10 - Prob. 31RECh. 10 - Prob. 32RECh. 10 - Prob. 33RECh. 10 - Prob. 34RECh. 10 - Prob. 35RECh. 10 - Prob. 36RECh. 10 - Prob. 37RECh. 10 - Prob. 38RECh. 10 - Prob. 39RECh. 10 - Prob. 40RECh. 10 - Prob. 41RECh. 10 - Prob. 42RECh. 10 - Prob. 43RECh. 10 - Prob. 44RECh. 10 - Prob. 45RECh. 10 - Prob. 46RECh. 10 - Prob. 47RECh. 10 - Prob. 48RECh. 10 - Prob. 49RECh. 10 - Prob. 50RECh. 10 - Prob. 51RECh. 10 - Prob. 52RECh. 10 - Prob. 53RECh. 10 - Prob. 54RECh. 10 - Prob. 55RECh. 10 - Prob. 56RECh. 10 - Prob. 57RECh. 10 - Prob. 58RECh. 10 - Prob. 59RECh. 10 - Prob. 60RECh. 10 - Prob. 61RECh. 10 - Prob. 62RECh. 10 - Prob. 63RECh. 10 - Prob. 64RECh. 10 - Prob. 65RECh. 10 - Prob. 66RECh. 10 - Prob. 67RECh. 10 - Prob. 68RECh. 10 - Prob. 69RECh. 10 - Prob. 70RECh. 10 - Prob. 71RECh. 10 - Prob. 72RECh. 10 - The height of a ball thrown upward from the ground...Ch. 10 - Prob. 74RECh. 10 - Prob. 1PTACh. 10 - Prob. 2PTACh. 10 - Prob. 3PTACh. 10 - Prob. 4PTACh. 10 - Prob. 5PTACh. 10 - Prob. 6PTACh. 10 - Prob. 7PTACh. 10 - Prob. 8PTACh. 10 - Prob. 9PTACh. 10 - Prob. 10PTACh. 10 - Prob. 11PTACh. 10 - Prob. 12PTACh. 10 - Prob. 13PTACh. 10 - Prob. 14PTACh. 10 - Prob. 15PTACh. 10 - Prob. 16PTACh. 10 - Prob. 17PTACh. 10 - Prob. 18PTACh. 10 - Prob. 19PTACh. 10 - Prob. 20PTACh. 10 - Prob. 1PTBCh. 10 - Prob. 2PTBCh. 10 - Prob. 3PTBCh. 10 - Prob. 4PTBCh. 10 - Prob. 5PTBCh. 10 - Prob. 6PTBCh. 10 - Prob. 7PTBCh. 10 - Prob. 8PTBCh. 10 - Prob. 9PTBCh. 10 - Prob. 10PTBCh. 10 - Prob. 11PTBCh. 10 - Prob. 12PTBCh. 10 - Prob. 13PTBCh. 10 - Prob. 14PTBCh. 10 - Prob. 15PTBCh. 10 - Prob. 16PTBCh. 10 - Prob. 17PTBCh. 10 - Prob. 18PTBCh. 10 - Prob. 19PTBCh. 10 - Prob. 20PTB
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Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY
Solution of Differential Equations and Initial Value Problems; Author: Jefril Amboy;https://www.youtube.com/watch?v=Q68sk7XS-dc;License: Standard YouTube License, CC-BY