6lve the n dy equation + (acos Han x) dy +y cou2x = Castoc by changingthe Independent vaiable.

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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Question
olve the
equation ty + (2cos.c Hanx)dy +y cou 2x = Cartac by changingthe
Independent vaaie ble
show that x=0 Tr an Osdinaxy p0int (x-Dy"+Xy' -y=0 B asegu lad singulod
point
Transcribed Image Text:olve the equation ty + (2cos.c Hanx)dy +y cou 2x = Cartac by changingthe Independent vaaie ble show that x=0 Tr an Osdinaxy p0int (x-Dy"+Xy' -y=0 B asegu lad singulod point
Expert Solution
Step 1

Given differential equation is

d2ydx2+(2cosx+tanx)dydx+ycos2x=cos4x            (1)

Comparing with standard form

d2ydx2+Pdydx+Qy=R

Where

P=2cosx+tanx,Q=cos2x,R=cos4x

 

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