how to solve differential equation when the derivative is in right and left side of the equation.

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Javad Tousi
Javad Tousi 2019-7-1
编辑： Torsten 2019-7-2
Hi guys,
I have a program that needs to solve a differential equation in it and I know that ode45 can solve it in matlab. But, the problem here is that some of our equations are like these:
dx(1) = -k_psi*x(1)+dx(23)
dx(12) = -dx(1)*x(12) + d1 + (1/m)*(sin(x(16))*cos(x(15))*K_T*f_t),....
because of the initial conditions that are not very simple, I cannot integrate it by hand and when I run the program, it says dx(23) is not defined yet. dx is the output of my function and x is input. I searched on web, though I couldnot find anything. Can anyone help?

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Torsten
Torsten 2019-7-2
编辑：Torsten 2019-7-2
MATLAB solves ODE systems of the form
A(t,x)*dx = f(t,x)
So put all dx terms on the left-hand side, determine the matrix A and use the MASS MATRIX option of the ODE integrators.

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