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I am trying to solve this equation. I have solved the homogeneous part as:

$y(x)=ae^x$ or
$y(x)=ax+b$ or
$y(x)=a\cos(2x)+b\sin(2x)$ correct me if I am wrong,
but stuck with the particular part. Can you direct me?

$(y'')(y'-y)(y''+4y)^2=11e^x-\sin(2x)$

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  • $\begingroup$ No I am not sure :) $\endgroup$
    – Olcay Ertaş
    Jan 26, 2014 at 22:21
  • 1
    $\begingroup$ @ Olcat Ertas: where did you get that equation? $\endgroup$
    – Robert Lewis
    Jan 26, 2014 at 22:29
  • $\begingroup$ It is from my homework $\endgroup$
    – Olcay Ertaş
    Jan 26, 2014 at 22:32
  • $\begingroup$ Your homogeneous solutions are good.For the rest, I'm as stumped as you; W|A outputs "second-order nonlinear ordinary differential equation" and goes no further as "Standard computation time exceeded..". $\endgroup$
    – K. Rmth
    Jan 27, 2014 at 21:15
  • $\begingroup$ @OlcayErtaş: Did you progress? $\endgroup$
    – Amzoti
    Jan 28, 2014 at 2:07

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