(c) Find an expression for y = f(t) by solving the -0.02y² with the initial differential equation dt condition f(0) = 10.
(c) Find an expression for y = f(t) by solving the -0.02y² with the initial differential equation dt condition f(0) = 10.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:11:56
A apclassroom.collegeboard.org
B
I
x X2
Ω
0 / 10000 Word Limit
(c) Find an expression for y = f(t) by solving the
dy
differential equation
= -0.02y² with the initial
dt
condition f(0) = 10.
В
I
x? X2
Ω
0 / 10000 Word Limit
(d) Determine whether the amount of the substance is
changing at an increasing or a decreasing rate. Explain your
reasoning.
В I
x? X2
0 / 10000 Word Li
Submit
!!!
DI
II
Transcribed Image Text:11:56
AA
A apclassroom.collegeboard.org
5 of 6
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f(t) models
5. During a chemical reaction, the function y
the amount of a substance present, in grams, at time t
seconds. At the start of the reaction (t :
grams of the substance present. The function
dy
y = f(t) satisfies the differential equation
0), there are 10
-0.02y?.
dt
: 0 to
(a) Use the line tangent to the graph of y = f(t) at t
approximate the amount of the substance remaining at time
2 seconds.
t
В
I
x? X2
Ω
0 / 10000 Word Limit
(b) Using the given differential equation, determine whether
the graph of fcould resemble the following graph. Give a
reason for your answer.
Submit
II
II
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