Question: 1. Solve the following second-order ordinary differential equation using fourth-order Runge-Kutta method with the step size h=0.5 : dx2d2y+0.6dxdy+8y=0 The initial values are y(x=0)=4,dxdy(x=0)=0. Calculate

 1. Solve the following second-order ordinary differential equation using fourth-order Runge-Kutta

1. Solve the following second-order ordinary differential equation using fourth-order Runge-Kutta method with the step size h=0.5 : dx2d2y+0.6dxdy+8y=0 The initial values are y(x=0)=4,dxdy(x=0)=0. Calculate the solution at x=1. The analytical solution is given by y(x)=4e0.3xsin(2.81247x)+0.426671e0.3xcos(2.81247x) Report the solution and the true relative global error in \% for each step. Show all computational steps

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