3x Given y₁(x) = e³ is a solution to the given equation, use the Method of Reduction of Order to find a second solution. xy’’ – (6x − 2)y' + (9x − 6)y = 0, x > 0 Give your answer in the simplest form (i.e., no coefficients) Y2(x) =

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Exponential And Logarithmic Functions
Section11.CR: Review Problem Set
Problem 62CR
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Given y₁ (x)
1
Order to find a second solution.
e³x
3x
is a solution to the given equation, use the Method of Reduction of
-=
=
xy'' — (6x − 2)y' + (9x − 6)y = 0, x > 0
-
Give your answer in the simplest form (i.e., no coefficients)
Y₂(x) =
Transcribed Image Text:Given y₁ (x) 1 Order to find a second solution. e³x 3x is a solution to the given equation, use the Method of Reduction of -= = xy'' — (6x − 2)y' + (9x − 6)y = 0, x > 0 - Give your answer in the simplest form (i.e., no coefficients) Y₂(x) =
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