Hi , Please Can I have some help with this problem:

Find the values ofsuch that the solution of the equation is bounded:D

y''-4y'= sin(x); y(0)=D, y'(0)=0.

I started by applying the laplace Transform to the eqn.

I found (if not mistakes)

L(y)= [sD/(s^2-4) ] + [ 1/(s^2+1)(s^2-4)]

After that I know that I need to focus on the first term withDbut how to apply the condition for bounded??

Thank you for your help

B