Solve 3xy - 9y = x¯¹, y(1) = 2. (a) Identify the integrating factor, a(x). a(x) = 1/x^3 (b) Find the general solution. y(x) = -1/(12x)+C Note: Use C for the arbitrary constant. (c) Solve the initial value problem y(1) = 2. y(x) = (25x^3)/12 -1/(12x)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve 3xy - 9y = x¯¹,
y(1) = 2.
(a) Identify the integrating factor, a(x).
a(x) = 1/x^3
(b) Find the general solution.
y(x) = -1/(12x)+C
Note: Use C for the arbitrary constant.
(c) Solve the initial value problem y(1) = 2.
y(x) = (25x^3)/12 -1/(12x)
K
Transcribed Image Text:Solve 3xy - 9y = x¯¹, y(1) = 2. (a) Identify the integrating factor, a(x). a(x) = 1/x^3 (b) Find the general solution. y(x) = -1/(12x)+C Note: Use C for the arbitrary constant. (c) Solve the initial value problem y(1) = 2. y(x) = (25x^3)/12 -1/(12x) K
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