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Homework Statement
By using the method of differential operators, solve
y''+2y'+2y=2e-xsinx
1. Determine what is the annihilator of the inhomogeneous term.
2. Find a particular solution.
3. Write the general solution for the equation.
Homework Equations
xneaxsin(bx) --> annihilated by --> (D2-2aD+(a2+b2))n+1
The Attempt at a Solution
1. No problem with this. Annihilated by D2+2D+2I
2. and 3. Not sure how to get these.
I multiple the annihilator by both sides of the equation. I then get ((D+1)2+1)2=0 From here I'm not sure what to do.
Thanks