hwo to solve linear time variant differential equations?

I have a system which is of the form dx/dt=A(t)x. I want to solve this system, so that I can form Monodromy matrix.

Answer 1

[Nishitha Ayyalapu]

It actually depends on whether you want a numerical or a symbolic solution.

1.) For numerical solution

These would be helpful

http://www.mathworks.com/help/matlab/math/ordinary-differential-equations.html http://www.mathworks.com/help/matlab/ref/ode45.html

2.) For Symbolic Solution

(A) You can use MuPAD

http://www.mathworks.com/help/symbolic/mupad_ug/solve-ordinary-differential-equations-and-systems.html#math-solving-equations-differential-systems

or

(B) Use The Symbolic Math Toolbox interface

http://www.mathworks.com/help/symbolic/ordinary-differential-equations-and-system.html http://www.mathworks.com/help/symbolic/solve-a-system-of-differential-equations.html