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Math Help - Differential equations, need help with further simplifying

  1. #1
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    Differential equations, need help with further simplifying

    I have tried and tried to figure this out, please help.

    Find the general solution to this problem:
    2x(y+1) - y dy/dx = 0
    This is how far I've gotten:
    2x(y+1)= ydy/dx
    2x(y+1)dx = ydy
    2xdx = y/(y+1) dy
    ∫2xdx = ∫ y/(y+1) dy
    x^2 + C = ∫ y/(y+1) dy
    Then I get stuck. How do I finish this?
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  2. #2
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    Quote Originally Posted by wmw88 View Post
    I have tried and tried to figure this out, please help.

    Find the general solution to this problem:
    2x(y+1) - y dy/dx = 0
    This is how far I've gotten:
    2x(y+1)= ydy/dx
    2x(y+1)dx = ydy
    2xdx = y/(y+1) dy
    ∫2xdx = ∫ y/(y+1) dy
    x^2 + C = ∫ y/(y+1) dy
    Then I get stuck. How do I finish this?
    \frac{y}{y+1} = 1 - \frac{1}{y+1}
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