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Finding a closed form solution of nonlinear differential equation

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Can you find an expression for x, which is a function of t, given that sin(x*t) + t^2*cos(3*t^2)+x''(t) = 5x (x''(t) is the second derivative), using numerical or analytical methods?
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Jan
Jan el 21 de Feb. de 2021
You cannot use numerical methods to find a closed form solution.
Did you convert this equation to a system of ODEs of order 1 already? Some code?

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Shashank Gupta
Shashank Gupta el 24 de Feb. de 2021
Hi Aleem,
You should check out dsolve function. Also there are example to show the same problems that you are dealing up with. Check out this link, it might help you. And these are not numerical methods as @Jan already mentioned you cannot find out a closed form solution through numerical analysis.
I hope this helps.
Cheers

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