(a) 2xy? + x²y' = y², y(1) = = -1 (а) Зу(2? — 1) + (»3 + 8y — За) dy (b) 4x?3 dy гу* + 2 dæ (e) xy' = y + æe/æ (с) ау + гу — 1— у, у(1) — 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Identify an appropriate method to solve each differential equation. Then, solve each equation

(a) 2xy? + x?y' = y?, y(1) = -1
(d) 3y(x2 – 1) + (x³ + 8y – 3x)
dy
= 0
dx
(b) 42 y = xy+ + 2
dx
(e) xy' = y+ xe/0
(c) xy' + xy = 1 - y, y(1) = 0
Transcribed Image Text:(a) 2xy? + x?y' = y?, y(1) = -1 (d) 3y(x2 – 1) + (x³ + 8y – 3x) dy = 0 dx (b) 42 y = xy+ + 2 dx (e) xy' = y+ xe/0 (c) xy' + xy = 1 - y, y(1) = 0
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