In an Electronics experiment, a circuit containing a resistor and an inductor, which is driven by an alternating-current power supply, is described ty a differential equation that has a form analogous to
dy/dt+20y=6sin(2t)
which has the initial condition that y(0 sec.) = 6.
a) Determine the integrating factor required to solve this differential equation.
b. Solve this differential equation using the integrating factor you found in found part(a) and the initial conitions given above.