Show that id y = x(t) is a solution of the diff. eqn. y'' + p(t)y' + q(t)y = g(t), where g(t) is not always zero, then y = c*x(t), where c is any constant other than 1, is not a solution.
Can someone help me get started?
Also, since g(t) is not zero, this means that the equation is nonhomogeneous?