Register to reply

Undetermined coefficients

by s7b
Tags: coefficients, undetermined
Share this thread:
s7b
#1
Jan22-09, 09:42 PM
P: 26
How do I go about solving a DE using the method of undetermined coeficients in a question like for example;

y''-4y'+4y=2e^2x

I tried assuming the yp to be Ae^2x but when I plugged it into the DE I ended up with 0=2e^2x


??
Phys.Org News Partner Science news on Phys.org
Experts defend operational earthquake forecasting, counter critiques
EU urged to convert TV frequencies to mobile broadband
Sierra Nevada freshwater runoff could drop 26 percent by 2100
rock.freak667
#2
Jan22-09, 09:45 PM
HW Helper
P: 6,202
Since '2' double root of your aux. eq'n.

the yp should be Ax^2e^2x
s7b
#3
Jan22-09, 09:52 PM
P: 26
Once you substitute back into the original DE
Do you get:

8Ax^2e^2x + 2Ae^2x = 2e^2x


Register to reply

Related Discussions
Dif Eq - Undetermined Coefficients Calculus & Beyond Homework 3
Undetermined coefficients help Calculus & Beyond Homework 2
Method of undetermined coefficients Differential Equations 4
Undetermined coefficients Introductory Physics Homework 4
Nonhomogeneous: Undetermined coefficients Differential Equations 5