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

Use substitution/elimination to find the general solution.

dx/dt = 3x-y+2t^2

dy/dt = 4x-2y-8t^2

2. Relevant equations

I'm practically clueless on how to solve this problem using substitution/elimination, I'm pretty sure the way I'm doing it is completely wrong. If anyone can show me the correct approach or can show an example it would be a tremendous help.

3. The attempt at a solution

dx/dt = 3x - y +2t^2

dx = (3x -y +2t^2)dt

x = 3xt - yt + 2/3t^3

x(1-3t) = - yt + 2/3t^3

x = (-yt + 2/3t^3)/(1-3t)

I know this is not the correct way but I can't find anything online, so if someone does know what to do please reply.

Thanks

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# Homework Help: Substitution/Elimination to find General Solution | System of ODE's

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