Hello

I have this problem

Problem:

Solve the following differential equation by usingthree different methods:

Solution:

One method is finding the integrating factor which is which found by the formula

what are the other 2 methods??

Printable View

- Feb 11th 2011, 01:17 PMLiverpoolSolve the following ODE .. #8
Hello

I have this problem

__Problem:__

Solve the following differential equation by using**three different methods**:

Solution:

One method is finding the integrating factor which is which found by the formula

what are the other 2 methods?? - Feb 11th 2011, 01:26 PMchisigma
With some algebraic steps the DE becomes...

(1)

... which is linear and can be solved with 'standard approach'...

Kind regards

- Feb 11th 2011, 01:27 PMAckbeet
You could always do a series solution method!

- Feb 11th 2011, 01:48 PMpickslides
If you had some I.C's then a numerical method like runge-kutta?

- Feb 11th 2011, 02:02 PMchisigma
- Feb 11th 2011, 02:13 PMAckbeet
The substitution renders the equation separable:

and hence if we have

then we arrive at

- Feb 11th 2011, 02:45 PMGeneral
Another one is by using inspection.

... (1)

Your equation is ready for integrating now.

Actually, equation (1) is equivelant to the last equation in Ackbeet's replay. - Feb 11th 2011, 03:36 PMGeneral
- Feb 11th 2011, 09:53 PMchisigma
- Feb 12th 2011, 05:56 AMLiverpool
Thanks All.

- Feb 12th 2011, 06:19 AMAckbeet
You're welcome for my (this time, real!) contribution. (Wink)

- Feb 12th 2011, 06:21 AMLiverpool
Thanks.