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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
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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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 =
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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