4) Given the RC circuit where R = 1.5, C = 2, that starts with a constant voltage E(t) = 5 and after 2 seconds the voltage source is unplugged. a) Write the differential equation that describes the change in voltage across the capacitor. b) Draw the slope field using the software I used in the video or similar graphing software then paste it in this document where 0 ≤ t ≤ 4 and -2 ≤ Ec ≤ 10 c) Draw the equilibrium solution/s on the slope field. d) Draw the two solution curves that pass through the points (0,-1) and (0,7) e) What is lim Ec (what happens to the voltage across the capacitor over time)