USING THE FORMULAS GIVEN AT THE TOP FOR CIRCUITS. Please solve the problem and graph the solution. PLEASE HELP WITH GRAPH. Include all steps, formulas, identities and calculations used.

NLC : dT di at = k(T - Te) , RL circuit : L dt + RI = Vin du skydiving : m dt = mg - ku , RC circuit : RC dv dt + V = Vin 7. (15 points) An RC circuit has a resistor with R = 20 0 and a capacitor with C = .01F. At time t = 0 the voltage across the capacitor is Vo(0) = 5, when an input voltage of Vin = 10t Volts is applied. Solve for the voltage across the capacitor, Vo(t)