Method of Variation of parameters

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s7b

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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?
 
1,703
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what is the aux. eqn? did you solve the homogenous eqn by assuming an exponential then differentiating and plugging in?
 
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?
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).
 

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