- #1
Lahooty
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Homework Statement
Use substitution/elimination to find the general solution.
dx/dt = 3x-y+2t^2
dy/dt = 4x-2y-8t^2
Homework 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.
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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