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Math Help - Help:(solving diff. eq.)

  1. #1
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    Help:(solving diff. eq.)

    Hi
    how can I solve this problem:
    (y^2)y'=a.(x^1/2)+b.y
    a & b are constant and I don't know anything about a and b(I mean the range and ...).
    I solve this with MATLAB and MAPLE but they didn't give good answers.
    please help me how to find y(x).
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  2. #2
    Senior Member DeMath's Avatar
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    Quote Originally Posted by meti20 View Post
    Hi
    how can I solve this problem:
    (y^2)y'=a.(x^1/2)+b.y
    a & b are constant and I don't know anything about a and b(I mean the range and ...).
    I solve this with MATLAB and MAPLE but they didn't give good answers.
    please help me how to find y(x).
    Try to use this substitution \displaystyle{y=\sqrt{x}\,z~\Rightarrow~y'=\frac{z  }{2\sqrt{x}}+\sqrt{x}\,z'}
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