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2) Let y = c,x + C,x ln x be the general solution to x'y" – xy' + y = 0 on(-∞,). Find c, and c, such that y(1) = 3, and y'(1) =-1.

2) Let y = c,x + C,x ln x be the general solution to x'y" – xy' + y = 0 on(-∞,). Find c, and c, such that y(1) = 3, and y'(1) =-1.

Advanced Engineering Mathematics
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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2) Let y = c,x + c,x ln x be the general solution to r²y" – xy' + y = 0on (-,00). Find c, and c, , such that y(1) = 3, and y'(1) = –1.
Transcribed Image Text:2) Let y = c,x + c,x ln x be the general solution to r²y" – xy' + y = 0on (-,00). Find c, and c, , such that y(1) = 3, and y'(1) = –1.
Expert Solution
Step 1

Given that the below equation is a general solution of x2y''−xy'+y=0.

y=c1x+c2xlnx

To find the value of c1 and c2 if y(1) = 3 and y'(1) = -1.

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