Deferential equation in Matlab

Hi,

Im wondering how the following differential equation can be entered in in Matlab:

d(rT)/dr = (DP/L) r

My issue is with left hand side.

Answer 1

[Star Strider]

It depends on what you want to do, and what the left-hand side actually is. Is the function ‘rT’ or ‘T( r )’?

In the Symbolic Math Toolbox:

syms D L P rT(r) 
Eqn = diff(rT) == D*P/L * r;

This assumes that ‘rT’ is a separate function. I have no idea what you are actually doing.

If ‘T’ is the function:

syms D L P r T(r) 
Eqn = diff(r*T) == D*P/L * r;

However it may not be possible to integrate it, since the initial condition of ‘T(0)’ implies that ‘r’ is 0 and the integrated differential equation would be infinite at 0.