How to plot Multivariable ODE with conditions ?

Hi everyone,

I have been trying to plot this, but no luck. Can anyone help me out to do this.

I have attached the code, please do have a look. If theres any alternative then do let me know. I will appreciate that:

syms x(t) y(t) z(t)

% t=0:0.1:100;

ode1 = diff(x) == y-x;

ode2 = diff(y) == -x*z;

ode3 = diff(z) == x*y-2.2;

cond1 = x(0) == 1;

cond2 = y(0) == 0;

cond3 = z(0) == 0;

sol1 = dsolve(ode1,cond1) % x(t)

sol2 = dsolve(ode2,cond2) % y(t)

sol3 = dsolve(ode3,cond3) % z(t)

Answer 1

[Jan]

You are asked to do this in Simulink, not in Matlab.

In Matlab a numerical solution is a better idea than hoping, that there is a closed form symbolical solution. Remember that most functions do not have a closed form integral. A numerical solution:

a = 2.2;
F = @(t, x) [x(2) - x(1); ...
             -x(1) * x(3); ...
             x(1) * x(2) - a];
[t, x] = ode45(F, [0 100], [1, 0, 0]);
plot(t, x)