Show that the solutions to a second order differential equation is a vector space

Question

Let p = p(t) and q = q(t) be two continuous given functions in p, q : [0, ∞) → R and consider the second order differential equation defined for t > 0 given by

y''(t) + p(t)y'(t) + q(t)y(t) = 0 (1)

Let S be the set of solutions of (1). Show that S is a vector space.

Solution? Do i need to show the six properties for a vector space?