The transmission-line equations represent the flow of current along a long, leaky wire such as a transatlantic cable. The
equations take the form
x tI gv cv  
x tV rI LI   
where g, c, r and L are constants and I and v are the current and voltage
respectively.
(a) Show that when r = g = 0, the equations reduce to the wave equation.
(b) Show that when L = 0, the equations reduce o a heat-conduction
equation with a forcing term. Write W = V e(gt/c) to reduce to the
normal form of the equation.