Consider the following (x²-3x+1)y" -(x²-x-2)y'+(2x-3)y=0 on the interval I = (3,00) Verify that Y₁ =et is a solution. Find a second linearly independent solution using reduction of order. Write the general solution.
Consider the following (x²-3x+1)y" -(x²-x-2)y'+(2x-3)y=0 on the interval I = (3,00) Verify that Y₁ =et is a solution. Find a second linearly independent solution using reduction of order. Write the general solution.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the following (x²-3x+1)y" - (x²-x-2)y' + (2x-3)y=0 on the interval I = (3,0)
Verify that y₁=e* is a solution.
Find a second linearly independent solution using reduction of order.
Write the general solution.
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