1. Solve the given differential equation. (a) x²y" - 2y = 0 (b) x²y"+y' = 0 (c) x²y" + xy' + 4y = 0
1. Solve the given differential equation. (a) x²y" - 2y = 0 (b) x²y"+y' = 0 (c) x²y" + xy' + 4y = 0
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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Transcribed Image Text:1. Solve the given differential equation.
(a) x2y" - 2y = 0
(b) x2y"+y' = 0
(c) x2y" + xy' + 4y = 0
(d) x2y" - 3xy' - 2y = 0
(e) 25 x²y" + 25xy' + y = 0
(f) x²y" + 5xy' + 4y = 0
(g) 3x2y" + 6xy' + y = 0
(h) x³y + xy' - y = 0
(i) x²y" - 3xy' - 2y = 0
(i) x²y" - 4xy' = x5
(k) x2y" - xy' + y = 2x
1
x + 1
(m) xy"+y' = x, y(1) = 1, y'(1) = 0
(1) x²y" + xy' - y =
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