4. Solve and plot the following differential equation numerically (employ Matlab's ode45) ÿ(t) + 5ý(t) +6y(t) =4e-t,t > 0 Assume the initial conditions y(0+) = 10, y(0+) =- 2. 5. Solve for the complete response v(t), t > 0, for the following circuit (Let, R1 = 102, R2 = 10, C = 1 F and L=2 H). Assume that the switch has been in position 1 for a very long time. The switch moves into position 2 for all t ≥ 0. Also, determine the steady- state response Uss(t) and the transient response vtr(t). R2 t=0 + cos(t) + J 2V C= ₹10 : D(1) lle L 7

Fig: 1