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Need help with a homogeneous diff eq.?
Having a ton of problems with this one single problem. Help would be much appreciated with how it is worked out.
(3x^2-y^2) dx + (xy-x^3y^(-1)) = 0
Update:
Can you please be a little more explicit. Why did you split up dw and dx and dy?
1 Answer
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- ted sLv 710 years agoFavorite Answer
did you try w = x / y { or y / x } ???? dx = w dy + y dw
y² ( { 3 w² - 1 } [ w dy + y dw ] + { w - w^3} dy ) = 0...y╪ 0 so delete the y²
separate and integrate
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