Method of Variation of parameters

1. Jan 21, 2009

s7b

Hi,

When using the method of variation of parameters to solve something like;

y'' + y' = 2^x

I got the aux. equation: r^2 - r =0 which gives the roots r=0,1

How do I find the complementary equation yc?

2. Jan 22, 2009

ice109

what is the aux. eqn? did you solve the homogenous eqn by assuming an exponential then differentiating and plugging in?

3. Jan 23, 2009

matematikawan

If you meant complementary function then it got nothing to do with the method of variation of parameters. The method is meant for computing a particular solution yp(x).