How can solve this system of differential equations with two variables x, y? I will attach a photo to make it clearer.

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Duong Nguyen
Duong Nguyen 2018-10-9
编辑： Stephan 2018-10-10
-dx/dt = -0.6208*y^0.75*x^3; -dy/dt = -3*0.6208*y^0.75*x^3; y(0) == 0.48; x(0) == 1.44;

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回答（1 个）

Stephan
Stephan 2018-10-9
编辑：Stephan 2018-10-9
Hi,
this system can be integrated in a range of t=[0... ca. 0.247]:
x0 = [1.44 0.48];
tspan = [0, 0.247];
[t, y] = ode45(@odefun,tspan, x0);
plot(t, y(:,1), t, y(:,2))
function y = odefun(~, x)
y = [-(-0.6208.*(x(2).^0.75).*(x(1).^3));...
-(-3*0.6208.*(x(2).^0.75).*(x(1).^3))];
end
Bigger values for t2 will cause problems.
Best regards
Stephan

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