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