# Solution by undetermined coefficients

• Sep 28th 2009, 12:44 PM
ntfabolous
Solution by undetermined coefficients
I got one more differential eq. which I am unsure of....

Solution by undetermined coefficients:
Find a (real) general solution. Which rule are you using?

$y^{''}-y^{'}-2y=3e^{2x}$

Thanks!
• Sep 29th 2009, 12:52 AM
mr fantastic
Quote:

Originally Posted by ntfabolous
I got one more differential eq. which I am unsure of....

Solution by undetermined coefficients:
Find a (real) general solution. Which rule are you using?

$y^{''}-y^{'}-2y=3e^{2x}$

Thanks!

Since $y = a e^{2x}$ is part of the homogenous solution you must use a particular solution of the form $y_p = a x e^{2x}$.