# Help solving a Differential equation

1. Sep 30, 2007

### real10

k is an integer greater than 1.
$$y'=y^{\frac{-1}{k}}$$
solving this ode in matlab gives me this
$$(\frac{t*k+t+C1*k}{k})^{\frac{k}{1+k}}$$ which is correct since the further part of the problem proving a certain limit involving y follows from using the above matlab sol.

I am interested in solving this ode by hand.

by hand I am getting $$y^{\frac{k+1}{k}}=kt$$

Last edited: Sep 30, 2007
2. Sep 30, 2007

### real10

never mind I have solved it

3. Oct 8, 2007

### Int_fdh

I have a problem in heat equation. Can ADI Methods be used in Cylindrical coordinate system?
Any help should be appreciated.