(b) Find a solution from the family in part (a) that satisfies y(0) = 1. Determine the largest interval of definition for that solution. %3D ソン「-C,) (c) Find a solution from the family in part (a) that satisfies y(0) = y0- Determine the largest interval of definition for that solution.
(b) Find a solution from the family in part (a) that satisfies y(0) = 1. Determine the largest interval of definition for that solution. %3D ソン「-C,) (c) Find a solution from the family in part (a) that satisfies y(0) = y0- Determine the largest interval of definition for that solution.
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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Question
My question is in the image. I did not add my work as it would get messy fast, so I just added my answers.
I am having trouble how to go about part c. I determined that part a is true, and that for part b y = (-1)/(2t-1) with an interval of (1/2,infinity).
How do I go about part c?
Transcribed Image Text:4. Given the differential equation y' = 2y",
%3D
(a) Verify that y
1
where C is a constant, is a one-parameter family of solutions.
2t + C'
true
(b) Find a solution from the family in part (a) that satisfies y(0) = 1. Determine the largest interval of definition for
that solution.
ソニコ
[ > Cb,a)
(c) Find a solution from the family in part (a) that satisfies y(0)
for that solution.
= yo. Determine the largest interval of definition
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