Part 1: 20% Characterize the 6 equations by putting a tick marks, numbers, or letters on the appropriate boxes for the descriptions/requirements indicated in the table below. d'x dx a’u ôu d²u |4) ôx ' ôy² ' ôz? |1) +e" dy? dy = 0 + иди |2) =h? 5) y"+3x(y')' – y =1+3x + ốt d'y dy dy 6) dy =1– xy 3) +4 + cos x- = xy + tan x dx dx dx? dx Eq NO. Linear Non- ODE PDE Dependent Independen Order Degree linear Variable t Variable 1 2 4 a) Obtain the particular solution of xydx+(x+5y)´ dy = 0; when x = 0, y=1 b) Find the general solution of (3sin y-5x)dx+2x² cot ydy = 0 c) Obtain the particular solution of dy = (1+6xe*-») ) dx; when x = 0, y = 0 d) Obtain the particular solution of (2x–3y+4)dx+3(x–1)dy = 0; when x =-1, y= 2 y'dx +(3xy + y -1)dy = 0 e) Find the general solution of
Part 1: 20% Characterize the 6 equations by putting a tick marks, numbers, or letters on the appropriate boxes for the descriptions/requirements indicated in the table below. d'x dx a’u ôu d²u |4) ôx ' ôy² ' ôz? |1) +e" dy? dy = 0 + иди |2) =h? 5) y"+3x(y')' – y =1+3x + ốt d'y dy dy 6) dy =1– xy 3) +4 + cos x- = xy + tan x dx dx dx? dx Eq NO. Linear Non- ODE PDE Dependent Independen Order Degree linear Variable t Variable 1 2 4 a) Obtain the particular solution of xydx+(x+5y)´ dy = 0; when x = 0, y=1 b) Find the general solution of (3sin y-5x)dx+2x² cot ydy = 0 c) Obtain the particular solution of dy = (1+6xe*-») ) dx; when x = 0, y = 0 d) Obtain the particular solution of (2x–3y+4)dx+3(x–1)dy = 0; when x =-1, y= 2 y'dx +(3xy + y -1)dy = 0 e) Find the general solution of
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
Characterize the 6 equations by putting a tick marks, numbers, or letters on the appropriate boxes for the descriptions/requirements indicated in the table below.
(please see the equation and table at the pictures)
a) Obtain the particular solution of xydx + ( x + 5 y ) dy = 0; when x = 0, y = 1
b) Find the general solution of (3sin y − 5x)dx + 2x2 cot ydy = 0 ( (x−y) )
c) Obtain the particular solution of dy = 1+ 6xe dx; when x = 0, y = 0 d)Obtaintheparticularsolution of (2x−3y+4)dx+3(x−1)dy=0; whenx=−1, y=2 e) Find the general solution of y2dx + (3xy + y2 −1)dy = 0
Transcribed Image Text:Part 1: 20% Characterize the 6 equations by putting a tick marks, numbers, or letters on the
appropriate boxes for the descriptions/requirements indicated in the table below.
d?x
dx
ô’u ô’u ô²u
4)
|1)
+e"
dy?
dy
иди
a²u ô’u
2)
ốt
5) y"+3x(y')' – y =1+3x
dy
d'y
+4
dx²
d'y
dy
6)
=1- xy
3)
+ cos x
= xy+tan xr
dx
dr
dx
Dependent Independen Order
t Variable
Eq NO.
Linear Non-
ODE
PDE
Degree
linear
Variable
1
2
4
6
a) Obtain the particular solution of xydx +(x+5y)´ dy = 0; when x = (
3D0, у%3D1
b) Find the general solution of (3sin y – 5x) dx +2x² cot ydy = 0
c) Obtain the particular solution of dy = (1+6xe*-») ) dx; when x = 0, y = 0
(х-у)
d) Obtain the particular solution of (2x– 3y+4)dx+3(x–1)dy = 0; when x =-1, y = 2
e) Find the general solution of
y’dx +(3xy + y² -1)dy = 0
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