trying to solve system of differential equations using differential operator notation:
x'' -2y'' -2y' = sin(t)
x + y' = 0
I believe Diff. Operator notation is:
D^2(x) - [(D^2 + 2)y] = sin(t)
x + D(y) = 0
is this correct?
if so, how do I set them up to solve by systematic elimination?

Question

trying to solve system of differential equations using differential operator notation:
x'' -2y'' -2y' = sin(t)
x + y' = 0
I believe Diff. Operator notation is:
D^2(x) - [(D^2 + 2)y] = sin(t)
x + D(y) = 0
is this correct? 
if so, how do I set them up to solve by systematic elimination?

anonymous · Answer

D^2 - [(D^2 + 2D)y] = sin(t)
 x + Dy= 0

anonymous · Answer

osufan do you have the answer from the book?

anonymous · Answer

no, mark o, I don't have access to the book answer.