Solve the problem of un-damped forced vibrations of a spring in the case where the forcing function is f(t)=A sin ωt. D.

[answerhappygod]

a) y = y0 cos⁡λt + y1 sin⁡λt + \(\frac{λ cos ωt}{-ω^2+λ^2}\)
b) y = y0 cos⁡λt + (y1/μ)sin⁡λt + \(\frac{cos ωt}{ω^2+λ^2}\)
c) y = y0 cos⁡λt + (y1 λ)sin⁡λt +\(\frac{sin ωt}{ω^2+λ^2}\)
d) y = y0 cos⁡λt + (y1/λ)sin⁡λt + \(\frac{μ sin ωt}{-ω^2+λ^2}\)