Let y'= 2xy²; y = a. (-4,4),(-∞, -4] b. (-4,4) c. (-4,00),(-4,4),[4, ∞) d. (-4,00),(4,∞), e. (-∞, -4) O Then by considering y=(x) as a solution of the differential equation, give at least one interval I of definition. O a C 24 16-x d e 1 y(2) = 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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Question
Let y' = 2xy²; y =
a. (-4,4),(-∞, -4]
b. (-4,4)
c.
d. (-4,00),(4,00),
e.
(-∞, -4)
O
Then by considering y=$(x) as a solution of the differential equation, give at least one interval I of
definition.
O
O
a
24
16-x²
(-4,00),(-4,4),[4,00)
b
e
(D
7
y(2)=2
Transcribed Image Text:Let y' = 2xy²; y = a. (-4,4),(-∞, -4] b. (-4,4) c. d. (-4,00),(4,00), e. (-∞, -4) O Then by considering y=$(x) as a solution of the differential equation, give at least one interval I of definition. O O a 24 16-x² (-4,00),(-4,4),[4,00) b e (D 7 y(2)=2
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