Science:Math Exam Resources/Courses/MATH152/April 2022/Question B5 (b)/Statement

In the right circuit the differential equations are

$${\frac {dV_{1}}{dt}}=-{\frac {J_{1}}{C_{1}}},\ {\frac {dV_{2}}{dt}}=-{\frac {J_{2}}{C_{2}}},\ {\frac {dI}{dt}}=-{\frac {E}{L}}.$$

Find the second differential equation ${\textstyle {\frac {dV_{2}}{dt}}=...}$. The equation should only involve ${\textstyle I,V_{1},V_{2}}$.