Using the fact that y1(x) e* is solution of the second order linear %3D homogeneous DE (7+ бх) у" — 6у - (1 + 6х)у %3D 0, find a second linearly independent solution y2(x) using the method of reduction of order (Do NOT enter y2(x) as part of your answer) and then find the unique solution of the above DE satisfying the initial conditions y(0) = -16, y'(0) = 12 %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 70EQ
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Using the fact that y1(x)
e* is solution of the second order linear
%3D
homogeneous DE
(7+ бх) у" — 6у - (1 + 6х)у %3D 0,
find a second linearly independent solution y2(x) using the method of reduction
of order (Do NOT enter y2(x) as part of your answer) and then find the unique
solution of the above DE satisfying the initial conditions
y(0) = -16, y'(0) = 12
%3D
Transcribed Image Text:Using the fact that y1(x) e* is solution of the second order linear %3D homogeneous DE (7+ бх) у" — 6у - (1 + 6х)у %3D 0, find a second linearly independent solution y2(x) using the method of reduction of order (Do NOT enter y2(x) as part of your answer) and then find the unique solution of the above DE satisfying the initial conditions y(0) = -16, y'(0) = 12 %3D
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