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(i + 1)?y" – 4(t + 1)y' + 6y = 0. y,(1) = (t + 1)?

(i + 1)?y" – 4(t + 1)y' + 6y = 0. y,(1) = (t + 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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Please do #17

 

section 3.4

Exercises 14-20: One solution, y, (1), of the differential equation is given. (a) Use the method of reduction of order to obtain a second solution, y, (1). (b) Compute the Wronskian formed by the solutions y, () and y,(t). 14. ty" – (21 + 1)y' + (1 + 1)y = 0, y, (1) = e' 15. ty" – ty + y = 0, y,t) =t 16. y" – (2 cot f)y + (1 +2 cot?1)y = 0, y1) = sint 17. (t + 1)'y" – 4(t + 1)y' + 6y = 0, y,(t) = (t + 1)? 18. y" + 4ty + (2 + 4r?)y = 0, y,(t) = e 19. (t – 2)'y" + (t - 2)y' – 4y = 0, y,(1) = (t – 2)? 20. y-(2+"구) (1+ 1 - 1 y + y = 0, where n is a positive integer, y, (t) = e'
Transcribed Image Text:Exercises 14-20: One solution, y, (1), of the differential equation is given. (a) Use the method of reduction of order to obtain a second solution, y, (1). (b) Compute the Wronskian formed by the solutions y, () and y,(t). 14. ty" – (21 + 1)y' + (1 + 1)y = 0, y, (1) = e' 15. ty" – ty + y = 0, y,t) =t 16. y" – (2 cot f)y + (1 +2 cot?1)y = 0, y1) = sint 17. (t + 1)'y" – 4(t + 1)y' + 6y = 0, y,(t) = (t + 1)? 18. y" + 4ty + (2 + 4r?)y = 0, y,(t) = e 19. (t – 2)'y" + (t - 2)y' – 4y = 0, y,(1) = (t – 2)? 20. y-(2+"구) (1+ 1 - 1 y + y = 0, where n is a positive integer, y, (t) = e'
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