Given that three solutions to the inhomongenous DE equation y''+p(t)y'+q(t)y=g(t)
are y1=1+e^(t^2), y2= 1+te^(t^2), y3= 1+(t+1)e^(t^2),
find the general solution
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Since , and all satisfy the ODE then and
Thus, the general solution is .
Note that we could have used either for but can adjust the constants such that all we need is .
Last edited by Danny; May 21st 2011 at 01:18 PM.
Why did you subtract the solutions? Thanks
It was to get to the homogeneous ODE
If and satisfy your ODE, i.e.
then substracting gives .
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