Solving a non-linear non-seperable differential equation


by SuperNomad
Tags: differential, equation, nonlinear, nonseperable, solving
SuperNomad
SuperNomad is offline
#1
May25-08, 02:23 PM
P: 6
I'm having trouble solving this differential equation:

(2x^2)yy' = −1

I'm just really not sure how to go about solving this.
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Mute
Mute is offline
#2
May25-08, 05:46 PM
HW Helper
P: 1,391
Why isn't it separable?

[tex]2x^2 y \frac{dy}{dx} = -1 \Rightarrow 2y dy = -\frac{dx}{x^2}[/tex]
SuperNomad
SuperNomad is offline
#3
May25-08, 05:54 PM
P: 6
Ah yes, that's actually quite easy, I'm just being dense.

Thanks for the help.

SuperNomad


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