Amechanical system is governed by the following differential equation what is the homogeneous solution
d^2y/dt^2 + 6 dy/dt + 9y = 4e^- t

The ODE has characteristic equation

with roots , and hence the characteristic solution

For the particular solution, assume an ansatz of , with derivatives

Substituting these into the ODE gives

so that the particular solution is

the answer is somewhere there guys it really . there im just not gonna answer

step-by-step explanation:

but i'm guessing ur first option tho