How to solve a coupled system of differential equations with two derivatives in one equation?
3 views (last 30 days)
Show older comments
Hello,
I need to solve two differential equations which one of them include two first derivatives of the two dependent variables of the problem. The equations are of the form:
1. d(xy)/dt=x+yx
2. dy/dt=yx
Which solver would be suitable for that mission? and How should it be implemented?
Thanks, Regards
Answers (1)
Roger Stafford
on 9 Nov 2014
I think the easiest way would be to solve for dx/dt and then use any of the numerical ode functions:
dx/dt = x/y+x-x^2
dy/dt = x*y
However, if you prefer, you can use 'ode15i' which handles implicit equations of the form you have here.
Also you might try 'dsolve' for a symbolic solution.
0 Comments
See Also
Categories
Find more on Symbolic Math Toolbox in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!