(a) Solve (2ry + y²) dy = –(x² + y²) dx y(1) = 2
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:This question is meant to test your knowledge of ordinary differential
equations. I will ask you to either solve or explain how to solve each equation. If I ask
you to solve an equation, find the solution and apply any boundary or initial conditions
if given. If I ask you to explain how to solve, do just that including the form of any
assumed solution. Additionally, classify each equation at least to the point which it
determines your solution technique (1st order, 2nd order, constant coefficients, etc).
(a) Solve
(2ry + y³) dy = -(x² + y°) dx
y(1) = 2
(b) Solve
xy' + y = 0
y(2) = -2
(c) Solve
y" + 4y' + 20y = 0
(а) Explain
y" + 7y' + 6y = 3 sin 3x + 5x²
(e) Explain
y" – 4y' – 5y = sec 5x
(f) Explain
y" – 4xy/ + (4x² – 2)y = 0
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