Given yı(x) = x satisfies the corresponding homogeneous equation of x²y"-4xy'+6y=6x+6, x>0 Then the general solution to the non-homogeneous equation can be written in the form n y(x) = c₁x² + C2x + Yp == Use reduction of order to find the general solution in this form, your answer will involve C1, C2, and x. You may find c₁ and c₂ as variables in the drop down box or type c_1 and c_2 y(x) =

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.2: The Substitution Method
Problem 12WE
Question

Sp

Given yı(x)
=
x satisfies the corresponding homogeneous equation of
x²y"-4xy'+6y=6x+6, x>0
Then the general solution to the non-homogeneous equation can be written in the form
n
y(x) = c₁x² + C2x + Yp
==
Use reduction of order to find the general solution in this form, your answer will involve C1, C2, and x. You
may find c₁ and c₂ as variables in the drop down box or type c_1 and c_2
y(x) =
Transcribed Image Text:Given yı(x) = x satisfies the corresponding homogeneous equation of x²y"-4xy'+6y=6x+6, x>0 Then the general solution to the non-homogeneous equation can be written in the form n y(x) = c₁x² + C2x + Yp == Use reduction of order to find the general solution in this form, your answer will involve C1, C2, and x. You may find c₁ and c₂ as variables in the drop down box or type c_1 and c_2 y(x) =
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