Find a particular solution to the differential equation y′′ −4y′ +29y=20e²ᵗ sin(5t).
a) yₚ(t)=e²ᵗ (Acos(5t)+Bsin(5t))
b) yₚ(t)=5e²ᵗ sin(5t)
c) yₚ(t)=4e²ᵗ cos(5t)
d) yₚ(t)=20e²ᵗ sin(5t)