e) (1+x+v+xv) v = 1 with an initial condition v(-2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve only eqution e)

Solve the equation:
Solve the equation:
Solve the equation:
Solve the equation:
Solve the equation:
e) (1+x+y+xy) y'=1 with an initial condition y(− 2) =1,
f) y'sinx=ylny
1
g) y'=√1-y²z with an initial condition y(0) = 2'
h) y'=√1- y² with an initial condition y(0)=-1,
y +3
X-2'
i) y'=
Transcribed Image Text:Solve the equation: Solve the equation: Solve the equation: Solve the equation: Solve the equation: e) (1+x+y+xy) y'=1 with an initial condition y(− 2) =1, f) y'sinx=ylny 1 g) y'=√1-y²z with an initial condition y(0) = 2' h) y'=√1- y² with an initial condition y(0)=-1, y +3 X-2' i) y'=
Expert Solution
Step 1

As you have mentioned I need to solve

1+x+y+xyy'=1, y(-2)=1

Lets use variable separable method.

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