Could someone help me solve this using differential equations? Recall that in a

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Could someone help me solve this using differential equations?

Recall that in a series RLC circuit the differential equation governing the capacitor voltage is given as : Which means that the voltage source is turned on at t=0. And before t=0 there was no input. Just before switching, i.e. at t=0- the capacitor voltage and conductor currents are given by real and positive. The objective of this problem is to find for t>0 Zero Input Response Zero StateRespose to unit step. Indicate transient and steady state part Zero State Respons to unit impulse h(t). Total response with unit step input. The sum of all transient parts is called natural response. Zero State Respose to Show that the following function Ae': satisfies the differential equation provided Show that the following function satisfies the differential equation for t>0 with Write the ZSR solution to the unit step function. Take derivative of the unit step response found above.

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