Use the method of reduction of order to find a second linearly independent solution 32 (a) (b) x²y" + xy - 9y=0; x > 0, y₁(x) = x³. Ay" - 4y + y = 0; 3₁(x)=e¹/2.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 11AEXP
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HW7P6

(6) Use the method of reduction of order to find a second linearly independent solution 32:
(a)
(b)
x²³y" + xy - 9y=0; x > 0, y₁(x) = x³.
Ay" - 4y + y = 0; 3₁(x) = €²/2
Transcribed Image Text:(6) Use the method of reduction of order to find a second linearly independent solution 32: (a) (b) x²³y" + xy - 9y=0; x > 0, y₁(x) = x³. Ay" - 4y + y = 0; 3₁(x) = €²/2
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