(a) x²y' = y-xy; y(-1) = -1
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:Q2. Solve the following initial value problems by separating the vari-
ables:
(a) x²y' = y – xy: y(-1) =-1
(b) 2- y(2) = 2
dx¯ x² -
(c) y'-y² =-9; solution passes through (0,0)
(d) (1 + x*)dy + x{1+ 4y°\dx = 0; y(1) =0
2x
(e)
- y(0) = 1
3x+ 4x-4
(f) y'=
; y(1) = 3 (obtain explicit solution)
2y – 4
xy³
(g) y' =
VI +x
p(0) = -1 (obtain explicit solution)
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