Let's say I have the equation:(adsbygoogle = window.adsbygoogle || []).push({});

##\ddot {\theta}(t)(J + y(t)^2) + 2 \dot {\theta}(t) y(t) \dot y(t) + \ddot y(t)Jn##

It's the general form of an equation I'm working with to describe the motion of a beam. As you can see both ##{\theta}(t)## and y(t) are equations of t. J and Jn are just constants.

I'm wanting to solve for ##{\theta}(t)##, ##\dot {\theta}(t)##, and ##\ddot {\theta}(t)## as a function of time. These will correspond to position, velocity, and acceleration around an axis.

I'm not sure how to go about this (differential) generally, I'm wanting the solutions mentioned about to come out something like:

##{\theta}(t)## = (equation of t)

Any help would be greatly appreciated!

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# Solving Differential - Equation of Motion

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