Please help. RLC circuit:d²q dq 1+ R+dt²Ldt = Vocos (wt)a) Find a particular solution for this differential equation.b) Use the given differential equation to derive a differential equation for the current.(hint: i(t) = d)c) Given two constants A and B, find D and o such that Acos(wt) + Bsin(wt)Dcos(wt - ) is satisfied for any wt. (hint: use appropriate trigonometric identities)d) Use part C to show that the particular solution of part a can be written as:Vo√(C−¹ − Lw²)² + R²w²= cos(wt - p)=

RLC circuit: d²q L +R- dq 1 + dt² dt9 = Vocos (wt) a) Find a particular solution for this differential equation. b) Use the given differential equation to derive a differential equation for the current. (hint: i(t) = d) c) Given two constants A and B, find D and ☀ such that Acos(wt) + Bsin(wt) Dcos(wt – 6) is satisfied for any wt. (hint: use appropriate trigonometric identities) d) Use part C to show that the particular solution of part a can be written as: =

RLC circuit: d²q L +R- dq 1 + dt² dt9 = Vocos (wt) a) Find a particular solution for this differential equation. b) Use the given differential equation to derive a differential equation for the current. (hint: i(t) = d) c) Given two constants A and B, find D and ☀ such that Acos(wt) + Bsin(wt) Dcos(wt – 6) is satisfied for any wt. (hint: use appropriate trigonometric identities) d) Use part C to show that the particular solution of part a can be written as: =