Find the general solution.
The Attempt at a Solution
Characteristic equation would be:
m2 + 1 = 0
So,m2 = -1
Therefore, m = i or m = -i.
Complementary function would be : Asinx+Bcosx where,A and B are constants respectively.
If I write the particular integral as (Cx2+Dx+E)sin2x + (Px2+Qx+R)cos2x
Then,it would be very tedious to solve.
Is there any alternative way like writing sin2x as Imaginary part of ei2x and then solving the particular integral?