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W y1, y2, Y3) = on (0, ∞0). %3D Yes 1. Is {y1, y2, y3} a fundamental set for XD³ – 9D²y – 4xDy+ 36y = 0 on (0, co)?

W y1, y2, Y3) = on (0, ∞0). %3D Yes 1. Is {y1, y2, y3} a fundamental set for XD³ – 9D²y – 4xDy+ 36y = 0 on (0, co)?

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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dy cosh(x), and dy = sinh(x). For this problem you may want to recall that if y = sinh(x), then dx dx2 It can be shown that y1 = sinh(2x), y2 = cosh(2x) and y3 e2x are solutions to the differential equation %3D xD³y - 9D²y – 4xDy+ 36y = 0 on (0, 0). What does the Wronskian of y1, y2, Y3 equal on (0, ∞)? W(y1, y2, Y3) = on (0, ∞0). Yes 1. Is {yı, Y2, Y3} a fundamental set for xD°y – 9D²y – 4×DY+ 36y = 0 on (0, ∞)?
Transcribed Image Text:dy cosh(x), and dy = sinh(x). For this problem you may want to recall that if y = sinh(x), then dx dx2 It can be shown that y1 = sinh(2x), y2 = cosh(2x) and y3 e2x are solutions to the differential equation %3D xD³y - 9D²y – 4xDy+ 36y = 0 on (0, 0). What does the Wronskian of y1, y2, Y3 equal on (0, ∞)? W(y1, y2, Y3) = on (0, ∞0). Yes 1. Is {yı, Y2, Y3} a fundamental set for xD°y – 9D²y – 4×DY+ 36y = 0 on (0, ∞)?
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