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Math Help - Bernoullli Equation

  1. #1
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    Bernoullli Equation

    Please help me to solve next equation:
    <br />
x=(x^{2}-2y+1)y'<br />
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  2. #2
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    Quote Originally Posted by sinichko View Post
    Please help me to solve next equation:
    <br />
x=(x^{2}-2y+1)y'<br />
    Re-write your equation as

     <br />
\frac{dx}{dy} = x - \frac{2y-1}{x}<br />

    then

     <br />
x \frac{dx}{dy} = x^2 - 2y+1<br />

    then let u = x^2 so

    \frac{1}{2} \frac{du}{dy} = u - 2y + 1 - it's linear now!
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