17. x²y" + xy' + (x² -v²)y=0 (Bessel equation)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
icon
Related questions
Question

For Question 17: Find all singular points of the given
equation and determine whether each one is regular or irregular.

17. x²y" + xy' +
(x²-v²)y=0 (Bessel equation)
18. (x+2)²(x - 1) y" + 3(x − 1) y' - 2(x + 2) y = 0
19. x(3x) y" +(x + 1) y' - 2y = 0
20. xy" +ey' + (3 cos x) y = 0
21.
y" + (ln [x]) y' + 3xy = 0
22. (sin x)y" + xy' +4y=0
23. (x sin x) y" + 3y' + xy = 0
Transcribed Image Text:17. x²y" + xy' + (x²-v²)y=0 (Bessel equation) 18. (x+2)²(x - 1) y" + 3(x − 1) y' - 2(x + 2) y = 0 19. x(3x) y" +(x + 1) y' - 2y = 0 20. xy" +ey' + (3 cos x) y = 0 21. y" + (ln [x]) y' + 3xy = 0 22. (sin x)y" + xy' +4y=0 23. (x sin x) y" + 3y' + xy = 0
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer