There is no initial energy stored in the circuit in Figure P10-4.7.

(a) Find the zero-state mesh currents \(i_{\mathrm{A}}(t)\) and \(i_{\mathrm{B}}(t)\) when \(v_{1}(t)=25 u(t) \mathrm{V}\).

(b) Find \(i_{\mathrm{X}}(t)\).

(c) Validate your answers using MATLAB and plot \(i_{\mathrm{A}}(t), i\) \({ }_{\mathrm{B}}(t)\), and \(i_{\mathrm{X}}(t)\) on one graph.