hello ! i need help bringing this equation into the form

the equation is:

edit: actually i have no clue what to do at all..... no real question given...

ok obviously i need to solve this Diff. Equ.

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- Jun 18th 2009, 01:59 PMcoobeDifferential equation - integrating factor
hello ! i need help bringing this equation into the form

the equation is:

edit: actually i have no clue what to do at all..... no real question given...

ok obviously i need to solve this Diff. Equ. - Jun 18th 2009, 02:36 PMpickslides
- Jun 18th 2009, 02:39 PMpickslides
now have a look at this post. It shows you how to apply the integrating factor method.

http://www.mathhelpforum.com/math-he...equations.html - Jun 19th 2009, 06:18 AMHallsofIvy
First write it as .

That is a linear equation and, as you say, has an "integrating factor".

That means there exist some function u(x) such that multiplying the entire equation by u(x), the left side becomes an "exact derivative":

Do the differentiation on the right side, using the product rule, and compare:

We must have , a separable equation for u(x): . Integrating both sides of that, ln|u|= -ln|x-1| so is the integrating factor:

.

Now integerate both sides of that.