Please could someone help me with this diff equation - I have been trying multitudes of substitution and have not yielded any progress. Help will be very appreciated.

Thank you friends

Results 1 to 5 of 5

- Jul 19th 2013, 05:12 PM #1

- Joined
- Jul 2013
- From
- New Delhi
- Posts
- 10

- Jul 19th 2013, 06:35 PM #2

- Joined
- Apr 2005
- Posts
- 19,421
- Thanks
- 2889

- Jul 20th 2013, 03:38 AM #3

- Joined
- Jul 2013
- From
- New Delhi
- Posts
- 10

- Jul 20th 2013, 04:27 AM #4

- Jul 20th 2013, 08:41 AM #5

- Joined
- Aug 2011
- Posts
- 252
- Thanks
- 61

## Re: Help with DE

Hi !

This is a Riccati equation.

write it on the form : y' = P(x) +Q(x)*y +R(x)*y²

Let y = -z'/(z*R)

Compute y' in terms of z'', z', z

Bring back y' and y into y' = P(x) +Q(x)*y +R(x)*y²

This leads to a linear ODE (second order)

Solve it for z(x)

Compute z'

Bring back z' and z into y = -z'/(z*R) which leads to y(x)