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Math Help - initial value problem help!

  1. #1
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    initial value problem help!



    I can't seem to solve this problem. First I use U substitution to get

    u * du/dy + 2 * u^2 / (y+1) = u^(1/2) / (y + 1)^3

    This is as far as I got. I can't get it to where I can separate the variables. Could someone show me how to get it to where I can separate the variables?
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  2. #2
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    Quote Originally Posted by TshingY View Post


    I can't seem to solve this problem. First I use U substitution to get

    u * du/dy + 2 * u^2 / (y+1) = u^(1/2) / (y + 1)^3

    This is as far as I got. I can't get it to where I can separate the variables. Could someone show me how to get it to where I can separate the variables?
    If you divide your u equation by u

     <br />
\frac{du}{dy} + \frac{2 u}{y+1} = \frac{1}{(1+y)^3} \cdot \frac{1}{u^{1/2}}<br />
this equation is Bernoulii.
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