LUMath2012
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1. Find the first four nonzero terms of the power series approximation of the solution.
y"-4y = 4t-8e-2t y(0)=1, y'(0)=-1
2. y=[tex]\sum[/tex]a_n*t^n where the summation goes from 0 to infinity
3. I have done a homogeneous problem similar to this and had no problems finding the first four terms. However, I am confused as far as where to go with the non-homogeneous equation. I have recursive formulas for the first four terms but all of them but one end up being equal to 0. Just wondering where I go from here.
y"-4y = 4t-8e-2t y(0)=1, y'(0)=-1
2. y=[tex]\sum[/tex]a_n*t^n where the summation goes from 0 to infinity
3. I have done a homogeneous problem similar to this and had no problems finding the first four terms. However, I am confused as far as where to go with the non-homogeneous equation. I have recursive formulas for the first four terms but all of them but one end up being equal to 0. Just wondering where I go from here.
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