Calculate the problem in example by using the runge-kutta

Question

Calculate the problem in Example by using the Runge-Kutta computer program RUNGA (see Chapter 8).

Example

Use the digital computer to solve the problem of a spring-mass system excited by a triangular pulse. The differential equation of motion and the initial conditions are given as

[ 0.5x"+8Π²x=F(tx₁=x'₁=0) ]

The triangular force is defined in Figure.