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I have a system of ODEs of the form

dx/dt = v

dv/dt = a = C*f(x),

where C denotes a constant and f(x) is some function of x. This system is easy to solve using (e.g.)

I need to use the derivative of the solution x[t], x'[t], in the following expression: B(x) = A + v(x), where A denotes a constant. But please note that the derivative is needed as a function ofCode (Text):

NDSolve[x''[t] == C*f(x), x[0] == 0, x'[0] == 0}, x, {t, 0, tMax}];

x, nott. I've been trying to figure out a smart way to do this, but I can't wrap my head around this. What should I do to achieve this?

Best regards,

Niles.

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# Mathematica: ODE's

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