Math265 Project Part C Name: Please study the Module 7 Lesson and Module 7 Electronic Application first before attempting this project. Follow the steps demonstrated in the Module 7 Electronics Application and the MATLAB Tutorial video in Media Gallery. I. Solving the Differential Equation In the series RLC circuit shown in Figure 1, the switch SW is first placed at position P1 until the capacitor is fully charged. Then, the SW is moved to position P2 to form the discharging circuit. SW P1. R P2 80 1H Key = Space Vs C 20V -1/15 Figure 1: The Serial RLC Circuit for Discharging Process The differential equation for the above circuit, as derived in the Module 7 Electronics Application, can be expressed as the following. [Velt +1 LCVet=0(1) Please show your detailed mathematical work for Steps 1 and 2