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=V(t)/L
Find the solution to this equation with the initial condition I(0) = 0, assuming that R = 150 Ω, L= 5 H, and V(t) is constant with V(t) = 10 V.
I(t) =