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19. 81x2y" + 27.xy' + (9x23 + 8)y = 0 (y = x18u, x1/3 z.) %3D %3D %3D

19. 81x2y" + 27.xy' + (9x23 + 8)y = 0 (y = x18u, x1/3 z.) %3D %3D %3D

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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Differential equations reducible to Bessel's equation Various differential equations can be reduced to Bessel's equation. To see this, use the indicated substitutions and find a general solution in terms of J, and J_, or indicate why these functions do not give a general solution. (More such equations follow in Problem Set 5.7.) 19. 81x2y" + 27xy' + (9x23 + 8)y = 0 20. x?y" + xy' + i6(x2 (y = x13u, x13 (y = x4u, x4 = z) z.) + 13ly = 0
Transcribed Image Text:Differential equations reducible to Bessel's equation Various differential equations can be reduced to Bessel's equation. To see this, use the indicated substitutions and find a general solution in terms of J, and J_, or indicate why these functions do not give a general solution. (More such equations follow in Problem Set 5.7.) 19. 81x2y" + 27xy' + (9x23 + 8)y = 0 20. x?y" + xy' + i6(x2 (y = x13u, x13 (y = x4u, x4 = z) z.) + 13ly = 0
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