b$)$ Once the output has settled down to zero, the engineer connects an AC input to the circuit so that the output starts to change again, but now governing ODE is

$\frac{1}{5}{v}^{}+2v^{}+5v=10cos(2t)$

with initial conditions $v(0)=0$ and $v^{}(0)=0.$

Use any method taught in this module to find the particular solution of this ODE $\text{'}$by hand', but you may use MATLAB to help with any simultaneous equations; then

use LAPLACE merhod to solve and give coreeccorrect answer dondon't use MATLAB FOR CALCULATIONS IN BETWEEN