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
New type of solar concentrator desn't block the view
Researchers demonstrate ultra low-field nuclear magnetic resonance using Earth's magnetic field
Asian inventions dominate energy storage systems
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