In each of the following problems, set up, but do not solve, for the particular function YP , for the method of undetermined coefficients. (a) y(4) − 6y′′′ + 10y′′ − 6y′ + 9y = 10e3x (b) y′′ + y = (5x2 + 3x) sin(x)
In each of the following problems, set up, but do not solve, for the particular function YP , for the method of undetermined coefficients. (a) y(4) − 6y′′′ + 10y′′ − 6y′ + 9y = 10e3x (b) y′′ + y = (5x2 + 3x) sin(x)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
In each of the following problems, set up, but do not solve, for the particular
function YP , for the method of undetermined coefficients.
(a) y(4) − 6y′′′ + 10y′′ − 6y′ + 9y = 10e3x
(b) y′′ + y = (5x2 + 3x) sin(x)
Expert Solution
Step 1
Function | particular integral |
a | |
a cosbx | Acosbx+Bsinbx |
asinbx | A cosbx+B sinbx |
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