(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

This is more of a problem I have with my knowledge of differentials. I have two second order differential equations for variables X(a) and T(a). I want to get an expression for X(T). I know I have to divide them, but how do you go about dividing them if they are explicitly stated as:

eqn1: [tex]\frac{d^{2}X}{da^{2}}[/tex] = Some polynomial

and,

eqn2: [tex]\frac{d^{2}T}{da^{2}}[/tex] = Some polynomial

3. The attempt at a solution

I know for first derivative with respect to 'a', you can just divide them directly and the 'da' part will just cancel, but what would you get for a second derivative?

Example of first derivative would be:

dX/da divided by dT/da would equal dX/dT, and you could just solve the resulting simple differential equation to get X(T).

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# Dividing differential equations

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