1. Solve the following differential equations by an appropiate method. dy xy + 4y 2 dx X +1 dy a) = b) (x + 1) + y = x sin x dx c) (sinx cos y + x²) dx + (cos x siny - y²)dy = 0, y(0)=0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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help with problem A, B & C

1. Solve the following differential equations by an appropiate method.
dy
xy + 4y
a)
=
2
dx
X² +1
b) (x + 1) dy + y = xsin x
dx
c) (sinx cos y + x²) dx + (cos x siny - y²) dy = 0, y(0) = 0
Transcribed Image Text:1. Solve the following differential equations by an appropiate method. dy xy + 4y a) = 2 dx X² +1 b) (x + 1) dy + y = xsin x dx c) (sinx cos y + x²) dx + (cos x siny - y²) dy = 0, y(0) = 0
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