d2y/dx2+9y=cos2x+sin2x

2 answers

y" + 9y = 0
The homogeneous DE has solution y = c1 sin(3x) + c2 cos(3x)
So your equation has solution
y = c1 sin(3x) + c2 cos(3x) + 1/5 (sin2x + cos2x)

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