(adsbygoogle = window.adsbygoogle || []).push({}); Find the general solution of the following ODE:

dx/dt = 3x^(2) cos t

Make x the subject of the solution.

Heres my solution, is this correct?

dx/dt = 3x^(2) cos t

dx/3x^(2) = cos tdt

Integrating both sides gives:

ln (3x^(2)) = sin t + C

3x^(2) = e^(sin t + C)

3x^(2) = Ae^(sin t)

x^(2) = (Ae^(sin t))/3)

x = SQRT(Ae^(sin t))/3)

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Is this general solution for ODE correct?

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