Hi , Please Can I have some help with this problem:
Find the values of D such that the solution of the equation is bounded:
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 with D but how to apply the condition for bounded??
Thank you for your help