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Math Help - Secound Order differential equation

  1. #1
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    Secound Order differential equation

    I used the method that says that istead of " y' " I can place " p " and istead of " y'' "
    I can place " p*(dp/dy) ".

    Then i got a easy saprable eqation but it doesnt see correct according to my booklet.
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  2. #2
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    One thing I see. You let

    \text{arcsinh}(y) = \dfrac{e^y - e^{-y}}{2}

    but

    \text{sinh}(y) = \dfrac{e^y - e^{-y}}{2}.

    I'm surprised that your book didn't give the explicit solution
    y = \sqrt{2} \sinh x + \cosh x.
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  3. #3
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    thanks!

    thanks!
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