Please solve this with Intregrating factor method

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- Oct 16th 2007, 06:58 AMking imranCan any one solve This with intregrated factor method
Please solve this with Intregrating factor method

- Oct 16th 2007, 07:55 AMKrizalid
I assume that you already have taken both partial derivatives.

When we want to find a suitable integrating factor, sometimes it's not so easy, so we may introduce the following cases.

I. Integrating factor dependent of Suppose that__CASE__

it's a function that depends only of which we'll denote it by Then, an integrating factor for the given equation is

II. Integrating factor dependent of If we have that__CASE__

it's only a function of denoted by then is an integrating factor for the differential equation on the form

III. Integrating factors of the form If they exist and such that__CASE__

then is an integrating factor for the differential equation mentioned previously.

IV. If they exist functions y which satisfy__CASE__

then an integrating factor for the differential equation is

Note that the case IV includes to the cases I, II y III if we take and respectively.