Solve the following ODEs by making an appropriate change of variable: (a) (y² − z²) dy = –2xy, 1-3y - 9T (b) dr 1+y + 3x dy dz =

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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for a is it possible tomake u=y^2+x^2?

Solve the following ODEs by making an appropriate change of variable:
(a) (y²-x²)
1-3y - 9x
(b)
1+ y +3r
dy
dr
=
-2xy,
dy
dz
Transcribed Image Text:Solve the following ODEs by making an appropriate change of variable: (a) (y²-x²) 1-3y - 9x (b) 1+ y +3r dy dr = -2xy, dy dz
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