Solve for the following homogenous differential equations. 1. (3x^2-2y^2)y' = 2xy; x=0, y=1          answer x^2=2y^2(y+1) 2. t(s^2+t^2)ds-s(s^2-t^2)dt=0           answer s^2 = -st^2 ln cst

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Solve for the following homogenous differential equations.

1. (3x^2-2y^2)y' = 2xy; x=0, y=1          answer x^2=2y^2(y+1)

2. t(s^2+t^2)ds-s(s^2-t^2)dt=0           answer s^2 = -st^2 ln cst

 

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