One solution of t + 2 t =x² + t + 2 is x₁ (t) = t. Find a second independent X1 - x = 0 t² solution.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 65E
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Please do number 5
is a solution.
eat. Use
4. Consider the equation x" - 2ax' + a²x = 0, which has solution x =
reduction of order to find a second independent solution. (This shows the
origin of the teat solution in a second-order linear equation with constant
coefficients, in the real, equal eigenvalue case.)
5. One solution of
t+2
x"
t
is x₁ (t) = t. Find a second independent solution.
·x' +
t+2
t²
- x = 0
Transcribed Image Text:is a solution. eat. Use 4. Consider the equation x" - 2ax' + a²x = 0, which has solution x = reduction of order to find a second independent solution. (This shows the origin of the teat solution in a second-order linear equation with constant coefficients, in the real, equal eigenvalue case.) 5. One solution of t+2 x" t is x₁ (t) = t. Find a second independent solution. ·x' + t+2 t² - x = 0
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