43. x(x - 1)y + 2xy + y = 0
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:Intervals of Existence and Unique ness
For Problems 39–45, use the existence and uniqueness theorem (Theorem
3.2) to determine intervals for which a unique solution to the differential
equation with initial conditions y(x₁) = yo, y'(x) = y' is certain to exist.
39.+y-0
40. y" + 4y + 4y = 1
41. y + xy + 2y = sin x
42. xy + y = 1
43. x(x
Dy" + 2xy + y = 0
44. y + x(1-x)' + y = 0
45. y" + (sin x) y' + y = 1
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