ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Tue, 03 Oct 2017 22:10:54 +0200solve linear system with non-constant coefficientsshttps://ask.sagemath.org/question/39023/solve-linear-system-with-non-constant-coefficientss/ I would like to solve a linear system of two differential equations with non-constant coefficients. Namely a system of the form
$$\begin{pmatrix}u_1 \\\ u_2\end{pmatrix}'=A\begin{pmatrix}u_1 \\\ u_2\end{pmatrix}$$
where $A=\begin{pmatrix}a &b\\\ c& d\end{pmatrix}$ and $a,b,c,d$ are given holomorphic functions.
I'm mainly interested in integrate such a system along pathsTue, 03 Oct 2017 12:12:22 +0200https://ask.sagemath.org/question/39023/solve-linear-system-with-non-constant-coefficientss/Comment by dan_fulea for <p>I would like to solve a linear system of two differential equations with non-constant coefficients. Namely a system of the form
$$\begin{pmatrix}u_1 \\ u_2\end{pmatrix}'=A\begin{pmatrix}u_1 \\ u_2\end{pmatrix}$$</p>
<p>where $A=\begin{pmatrix}a &b\\ c& d\end{pmatrix}$ and $a,b,c,d$ are given holomorphic functions.</p>
<p>I'm mainly interested in integrate such a system along paths</p>
https://ask.sagemath.org/question/39023/solve-linear-system-with-non-constant-coefficientss/?comment=39025#post-id-39025Please give us the functions, else there is hard to provide code.
(Or at least a special case, that comes with the problems.)
A possible reference to start with is [desolvers](http://doc.sagemath.org/html/en/reference/calculus/sage/calculus/desolvers.html) . Some ode solvers do the job numerically.Tue, 03 Oct 2017 22:10:54 +0200https://ask.sagemath.org/question/39023/solve-linear-system-with-non-constant-coefficientss/?comment=39025#post-id-39025