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adunb8
this is linear algebra & differential equation level. i need to make it into exact and solve for the answer which is y= +_ [x^2+_ (x^4 + c)^1/2]^1/2 ex: (y^3-x^2y)y' - xy^2 = 0
In general, for a function F, \[ dF = \frac{\partial F}{\partial x} dx + \frac{\partial F}{\partial y} dy \]
After looking at it, I don't think you can write the above expression as a perfect differential unless you added terms to it.
i got up to the general solution but i dont know how my teacher got |dw:1347092550502:dw|
\[y = \pm [ x^2 \pm \sqrt{x^4 + c} ] ^(1/2) \]