how to solve this system differential equations?

0.2x(t)^9(1/x(t)^8+1/y(t)^8-1)^(9/8)=diff(x(t),t)

0.3y(t)^9(1/x(t)^8+1/y(t)^8-1)^(9/8)=diff(y(t),t)

with x(0)=1 and y(0)=1

Answer 1

[Torsten]

fun=@(t,z)[0.2*z(1)^9*(1/z(1)^8+1/z(2)^8-1)^1.125;0.3*z(2)^9*(1/z(1)^8+1/z(2)^8-1)^1.125];
tspan = linspace(0,5,20);
z0 = [1;1];
[T,Z] = ode15s(fun,tspan,z0);
plot(T,Z(:,1),'-o',t,Z(:,2),'-o')

Best wishes

Torsten.

[thanos zisopoulos]

thanks..in the last line you have t replace with T??

[Torsten]

Yes, becasue they have different meanings.

t is a formal parameter in a function call, T is the vector of output times at which the solution Z is supplied.

Best wishes

Torsten.