this question is complete please show steps

X K X Question 1 (10 points) A constant voltage Vs(t) = 10 V is applied to the RC circuit shown in the figure. Assume that the switch has been in position 1 for a long time. At t=0, the switch is moved instantaneously to position 2. For t>=0, the voltage v(t) across the capacitor satisfies the following differential equation and initial condition: Rodeo tu(t) = 0 Given v(0) = 10 V, R = 5 K ohms, C=60 micro Farads. a) Find the transient solution, Vtran(t), what is the time constant of the response? [ put this time constant value in the answer box with unit] b) Find the steady-state solution Vss(t) c) Determine the total solution V(t) d) Sketch the total solution V(t). How long does it take for the response to reach 0.67 % of initial voltage. 5 kQ ON *1=0 Vs (t) C v(t) WW Type here to search ?) 12:35 PM 11/15/2020