Code must be in MATLAB

2.The fourth order differential equation 2(4)+3" - sin(8 -2 can be rewritten as the following system of first order equations =z2 (a) Write an m-file function for the system of differential equations. (b) Solve the system of equations over the interval te [0,25] for the initial conditions 1(0)1, r2(0) 2, (0) 3, 4(0) (c) Plot the component curve solutions found in (b). The i(t), r2(t), s(t), r4(t) curves should be plotted on one graph together against t. Use a legend to distinguish the curves and be sure to label the axes of the plot. (d) Plot the phase-plane solution for 2 and in the r23-plane. That is, plot the x3 solution vector against the x2 solution vector. Label the axes of the plot