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differential equation with numpy - derivative of function of two variables
I am using numpy to solve a differential equation with multiple variables.
So far I have been solving the equation without multiple variables, and I would like to extract the value of x, y, z.
For example, for a trivial equation (x^2 + y^2 + z^2), I just use
x, y, z = solution
where solution is the output of the scipy library.
So I am doing the the same thing now, where x, y, z are functions of two other variables (a and b).
I want to extract x, y, z from the solution, where solution is the output of scipy's ode function.
I have the following equation, for which I am trying to solve using scipy's ode (as an example, I used parameters a=1 and b=2):
y (x+dt) = y (x) + dt (x*(a*y(x) + b*z(x))
y(0) = 1
I have defined a y(x) and z(x) as follows:
I would like y(x) and z(x) to be, for example, y(x) = e^x, or y(x) = arctan x, or, in general, y(x) = f(x).
So I want to extract from the output, f(x), g(x), z(x) as well.
My question is: Is it possible