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adunb8

  • 3 years ago

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

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  1. Jemurray3
    • 3 years ago
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    In general, for a function F, \[ dF = \frac{\partial F}{\partial x} dx + \frac{\partial F}{\partial y} dy \]

  2. Jemurray3
    • 3 years ago
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    After looking at it, I don't think you can write the above expression as a perfect differential unless you added terms to it.

  3. adunb8
    • 3 years ago
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    i got up to the general solution but i dont know how my teacher got |dw:1347092550502:dw|

  4. adunb8
    • 3 years ago
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    \[y = \pm [ x^2 \pm \sqrt{x^4 + c} ] ^(1/2) \]

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