Consider RC Circuit; a) (20P) Drive the differential equation the system with R is 100-ohm and C is 0.1 Farad and initial condition of capacitor is 0. b) (20p) Transfer the derived differential equation of the model that you find in question (a) to the Laplace Domain (Find transfer equation). c) (20P) Generate the function that simulates the system that you find in question (b) and plot the V with using different input (impulse, step and sin wt with w is 2 rad). d) (20P) Transfer the derived transfer equation of the model that you find in question (b) to the Time Domain (using Inverse Laplace). e) (20P) Generate the function simulates the system that you find in question (d) and plot the V with using different input (impulse, step and sin wt with w is 2 rad).