1a) if a(t) is a solution to the differential equation p(t)y'' + q(t)y' + r(t)y = 0 prove that 5a(t) is also a solution.
if a(t) and b(t) are solutions to the differential equation p(t)y'' + q(t)y' +r(t)y = 0 prove that a(t) + b(t) is also a solution.
