You are Here: Home >< Maths

# Solving Coupled/Recursive Differential Equations? watch

1. Basically I'm doing a research project-type thing and it's led me to a coupled differential equation looking like

I have initial conditions and and a known function for .

I could recursively go through the ODEs and calculate (or get MATLAB to do it) the solutions, but this is rather painstaking and I can't remember/don't know how I would generate general solutions for this particular ODE.

Any help is much appreciated.
2. There is always recursion, but you can integrate to express the solutions recursively.

integrating once gives

Integrating factor, and integrate again:
.
3. (Original post by liewchuan)
There is always recursion, but you can integrate to express the solutions recursively.

integrating once gives

Integrating factor, and integrate again:
.
I've done the first couple of iterations recursively by hand, though many thanks for the help.

### Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: March 20, 2011
The home of Results and Clearing

### 3,141

people online now

### 1,567,000

students helped last year
Today on TSR

### University open days

1. London Metropolitan University
Sat, 18 Aug '18
2. Edge Hill University
Sat, 18 Aug '18
3. Bournemouth University
Sat, 18 Aug '18
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams