In: Math
Let p, q, g : R → R be continuous functions.
Let L[y] := y'' + py' + qy.
(i) Explain what it means for a pair of functions y1 and y2 to be a fundamental solution set for the equation L[y] = 0.
(ii) State a theorem detailing the general solution of the differential equation L[y] = g(t) in terms of solutions to this, and a related, equation.