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Math Help - homogeneous ODE

  1. #1
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    homogeneous ODE

    xdy/dx = y + root(x^2 + y^2)

    I can't solve this because of the square root..i've tried so many times and I know it's suppose to turn into a homogeneous DE but i just can't change it into the homogeneous DE because the square root is putting me off
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  2. #2
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    Quote Originally Posted by CookieC View Post
    xdy/dx = y + root(x^2 + y^2)

    I can't solve this because of the square root..i've tried so many times and I know it's suppose to turn into a homogeneous DE but i just can't change it into the homogeneous DE because the square root is putting me off
    Divide both sides by x (the stuff inside the square root therefore gets divided by x^2).

    Of related interest: http://www.mathhelpforum.com/math-he...on-155779.html
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