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How to solve the ODE y' = (4 + y +1)^2

  1. Jun 26, 2006 #1
    hello genius guys,
    can u people tell me the solution of differential equation dy/dx=(4x+y+1)^2

    plz replyy
    thz in advance
     
  2. jcsd
  3. Jun 26, 2006 #2

    arildno

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    Introduce the new function: u(x)=4x+y(x)+1
    Then, you have:
    [tex]\frac{du}{dx}=4+\frac{dy}{dx}=4+u^{2}[/tex]
    The diff.eq in u is separable.
     
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