Question

Find a particular solution of y"+3y'-2y=-e^(2x)(5cos2x+9sin2x).

Answer 1

@freckles @hartnn @mathstudent55 @Hero @Kainui @Compassionate @tkhunny

Answer 2

have you tried:
\[y_p=e^{2x}[A \cos(2t)+B(\sin(2t)]\]

Answer 3

that would be my first guess

Answer 4

Okay, let me try it.

Answer 5

Seems to be an awful lot of this, lately.

1) Do NOT post a problem with no work shown - work that is your own.
2) Do NOT tag the world. Very inconsiderate.
3) Have you even tried to solve the Characteristic Equation?

Throw us a bone so we can help you appropriately.

Answer 6

http://tutorial.math.lamar.edu/Classes/DE/UndeterminedCoefficients.aspx
all I did was use a combination of what was given on this table @Idealist10

Answer 7

Thank you! I got the right answer.