(Solved): - Assume \( x(t)=u(t) \) unit step function has been applied to the circuit shown below. - Find "m ...

- Assume \( x(t)=u(t) \) unit step function has been applied to the circuit shown below. - Find "math model" (differential equation) for the circuit. Include detailed linear circuit analysis. \[ \begin{array}{l} \rightarrow \text { Assume } R I=1[\mathrm{ohm}], R 2=1[\mathrm{ohm}], \\ \quad C=1[\mathrm{~F}], x(\mathrm{t})=u(\mathrm{t})[\mathrm{V}] \end{array} \]