Method of Undetermined Coefficients


by jmg498
Tags: coefficients, method, undetermined
jmg498
jmg498 is offline
#1
Dec18-07, 11:07 PM
P: 8
I am looking for the form of a solution for a second order ODE with right hand side: x (sin x + 2)

I'm thinking the form would be (Ax + B) sin(x) + (Cx + D) cos(x) + Ex + F. Does this seem correct?

Thanks for any help or suggestions!
Phys.Org News Partner Science news on Phys.org
SensaBubble: It's a bubble, but not as we know it (w/ video)
The hemihelix: Scientists discover a new shape using rubber bands (w/ video)
Microbes provide insights into evolution of human language
HallsofIvy
HallsofIvy is offline
#2
Dec19-07, 05:07 AM
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 38,900
Have you tried it? That would tell you whether it is correct or not! If it is correct, you will get an answer. If it is not correct, you won't.

Actually, it is impossible for us to tell because you haven't given us the homogeneous equation or its solutions. If sin(x) or cos(x) or x sin(x) or x cos(x) are already solutions to the homogenous equation, you will need to multiply (Ax+B)sin(x) and (Cx+ D)cos(x) by x again. If x or a constant is already a solution to the homogeneous equation, you will need to Ex2+ Fx.


Register to reply

Related Discussions
undetermined coefficients help Calculus & Beyond Homework 2
method of undetermined coefficients Differential Equations 4
DIFFEQ - Method of Undetermined Coefficients Introductory Physics Homework 6
undetermined coefficients Introductory Physics Homework 4
Nonhomogeneous: Undetermined coefficients Differential Equations 5