Problem 1 (15 points) Solve the nonlinear coupled differential equations using the default variable step solver in Simulink from 0 to 60 seconds and plot the response of the solutions x,

y & z in a single labeled figure. Save the model file to the assignment drop box as pl.slx and print the labeled response plot including the legend along with the block diagram as part of your homework submission. Use dark colors for the plot line so they show up when printed. As part of your solution give the values of z, y and dy/dt and t=35 seconds. dz (10z - z²) d²y dt² + 25/y dx 2zx = 1 dt x (0) = 5 dy dt dt (0) = 3 = -0.5 ln(15z) dy dt + 4e¯y - 0.6y√√z = 0 y (0) = 1.5 z(0) = 8