Problem deal with the la circuit of Fig. 2.7.7, a series circuit containing an inductor...

Problem deal with the la circuit of Fig. 2.7.7, a series circuit containing an inductor with an inductance of L. henries, a resistor with a resistance of R ohms, and a source of electromotive force (emf), but no capacitor. In this case Eq. (2) reduces to the linear first-order equation.

In the circuit of Fig. 2.7.7, with the switch in position 1, take L = 1, R = 10, and E(t) = 30cos6Ot + 40sin 60t. (a) Substitute and then determine A and B to find the steady-state current in the circuit. (b) Write the solution in the form