Use the method of variation of parameters to find a particular solution of the DE (3x – 1)y" – 9xy' + 9y = (3x – 1)² - e3x form a fundamental using the fact that y1(x) = x and y2(x) system of solutions for the associated homogenous equation. Use this to find the unique solution of the equation above satisfying the initial conditions %D y(0) = -, y'(0) = 2. %3D 9.
Use the method of variation of parameters to find a particular solution of the DE (3x – 1)y" – 9xy' + 9y = (3x – 1)² - e3x form a fundamental using the fact that y1(x) = x and y2(x) system of solutions for the associated homogenous equation. Use this to find the unique solution of the equation above satisfying the initial conditions %D y(0) = -, y'(0) = 2. %3D 9.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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Transcribed Image Text:Use the method of variation of parameters to find a particular solution
of the DE
(3x – 1)y" – 9xy' + 9y = (3x – 1)²
-
e3x form a fundamental
using the fact that y1(x) = x and y2(x)
system of solutions for the associated homogenous equation. Use this
to find the unique solution of the equation above satisfying the initial
conditions
%D
y(0) = -, y'(0) = 2.
%3D
9.
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