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Math Help - Differential equation

  1. #1
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    Differential equation


    Find the solution
    Attached Thumbnails Attached Thumbnails Differential equation-.bmp  
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  2. #2
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    Because y itself does not appear in that equation, let z= dy/dx so the equation becomes \frac{dz}{dx}- z^2+ 4= 0. That's a very simple separable first order equation for z. Since z= dy/dx, integrate to find y.
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  3. #3
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    I hope to complete the solution and you thanks
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  4. #4
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    \frac{dz}{dx} = z^2 - 4 = (z-2)(z+2) \Rightarrow \frac{dz}{(z-2)(z+2)} = dx...
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  5. #5
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    You the most beautiful tribute
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  6. #6
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    Quote Originally Posted by dapore View Post

    Find the solution
    You can conver this to a first order problem using substitution  u = \frac{dy}{dx} .
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