Compute the general solution of the linear inhomogeneous differential equation y' = .

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- Feb 16th 2009, 01:49 PMronaldo_07[SOLVED] differential equations
Compute the general solution of the linear inhomogeneous differential equation y' = .

- Feb 16th 2009, 02:27 PMronaldo_07
I fond the ingegrating factor to be 1+x and now I dont know where do to from there

- Feb 16th 2009, 02:36 PMronaldo_07
I solved it to be y=

- Feb 16th 2009, 02:46 PMHallsofIvy
It doesn't help to find the integrating factor if you don't know what an "integrating factor"

**is**! Don't memorize formulas, learn concepts!

An integrating factor for a linear differential equation of the form dy/dx+P(x)y= f(x,y) is a function of x, such that multiplying both sides of the equation by it converts the left side into a "perfect" derivative so that the equation becomes: .

If (1+ x) really is an integrating equation (I haven't checked that) then multiplying 1+x on both sides converts the equation to . Now integrate both sides with respect to x.