nonlinear differential equation system

I m trying to solve a nonlinear differential equation could you please help me

x1'=x1+2x1*x2-x1x3 x2'=-3x1+x2+x1*x3 x3'=x2*x3-3*x3

this system has initial conditons

Answer 1

[Babak]

If you are trying to solve it numerically with some numbers as initial conditions, you can use MATLAB's built in ODE solvers like ODE45,...

http://www.mathworks.com/help/matlab/ref/ode45.html

YOu only need to out your equations in the required format.

[pooria par]

thank you for your reply. Is it possible solve the equation without initial conditions?

[Babak]

Differential equations ALWAYS have to come with initial conditions! You can either have numerical initial conditions like x1(0)=3, x2(0)=-4, x4(0)=2 or not. In the latter case, the differential equation has to be integrated symbolically for x1(0)=x10, x2(0)=x20, x4(0)=x40. In this case you are looking for an analytical solution to your differential equation.

[pooria par]

Thank you, I want to know, can the matlab solve a system analytically?

[Star Strider]

Yes, but unfortunately not yours. I already tried to solve your system with the Symbolic Math Toolbox.

[Cyrus Azizzadeh]

can I solve systems like this in matlab?

dy(1) = 3*y(1) *t.^3 + y(2) + sin(dy(2)) + tan(dy(1)) ;

dy(2) = y(2) - y(1) + y(2).^4 + y(2).^4 + 3*t*dy(1) ;

[Torsten]

Use

https://de.mathworks.com/help/matlab/ref/ode15i.html