Problem $2$

$5$ points

Explain your reasoning for each step of the analysis in detail.

For the circuit shown below, determine the expression for $v_x(t)$ if the sources are operating at ${}_1=40ra\frac{d}{s}$ and ${}_2=50ra\frac{d}{s}.$

Hint: Use the superposition principle to express $v_x(t)$ in the time domain as a sum of sinusoidal functions.