From DE 1:
.
Substituting into DE 2:
.
Now, the characteristic equation is
.
So the solution to the homogeneous equation is .
Follow a similar process to find .
Please help. Solve
dx/dt + y = sint , x(0)=2
dy/dt + x = cost , y(0)=0
this is one problem that comes in my laplace transform chapter. Any method can be used