- #1

cloud18

- 8

- 0

I used method of undetermined coefficients to get particular solution:

Y(t) = -2sin(t) + 1

To get homogeneous solution, I solved characteristic equation to get complex roots:

r_1,2 = -1/4 +- i*sqrt(15)/4

so homogeneous solution is:

y = c1*exp(-1/4*t)cos(sqrt(15)/4*t) + c2*exp(-1/4*t)sin(sqrt(15)/4*t)

But when I use the initial conditions, I get c1 = c2 = 0.

Is this right, or did I make a mistake?

I simplified the original problem with an easier forcing function to try first, so it is possible the ODE doesn't

make sense?