Given an ODE in the form of f(t)y''+g(t)y'+h(t)y=0

Since the coefficients are functions of t in order to find a solution for all t this would need to be done numerically. But If all I am looking for is the y(t) at a specific value of t and NOT the general solution, can I just plug in that value of t into the coefficients of the original ODE and then solve it using standard analytically techniques or is a numeric solution the only way?