The document presents the solution to a differential equation where y'''-16y=0. The general solution is given as y=c1e^4x + c2e^-4x. The values of c1 and c2 are then determined by using the initial conditions y(0)=4 and y'(0)=-16. By setting up and solving two equations, the unique solution is found to be y=4e^(-4x).