Consider a series circuit consisting of a resistor of R ohms, an inductor of L henries, and variable voltage source of V(t) volts (time t in seconds). The current through the circuit I(t) (in amperes) satisfies the differential equation:
dI/dt + (R/L)*I= (1/L)*V(t)
Find the solution to this equation with the initial condition I(0) = 0, assuming that R= 80 Ω , L=5 H, and V(t) is constant with V(t)= 10