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Math Help - verify the solution of the differential equation

  1. #1
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    verify the solution of the differential equation

    Solution: x^2 + y^2 = Cy

    Differential Equation: y' = 2xy/(x^2 - y^2)
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by algebra2 View Post
    Solution: x^2 + y^2 = Cy

    Differential Equation: y' = 2xy/(x^2 - y^2)
    find y' in the first equation and show that you get the expression shown in the second eqaution
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  3. #3
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    Cy = x^2 + y^2
    y' = 2x + 2y

    ?
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by algebra2 View Post
    Cy = x^2 + y^2
    y' = 2x + 2y

    ?
    no. differentiate implicitly

    or solve for y in terms of x before differentiating
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