Solve the given initial-value problem. The DE is a Bernoulli equation. x2 dy - 2xy = 6y4, y(1) = 1/2 dx x 3 18 x Need Help? 10 X Read It Watch It
Solve the given initial-value problem. The DE is a Bernoulli equation. x2 dy - 2xy = 6y4, y(1) = 1/2 dx x 3 18 x Need Help? 10 X Read It Watch It
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
Please answer the wrong, this is a diff equation.
![Solve the given initial-value problem. The DE is a Bernoulli equation.
x2 dy - 2xy = 6y4, y(1) = 1/1/2
dx
x
3
18
x
Need Help?
10
X
Read It
Watch It](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb52044d-d588-4d60-8413-960f544d05a0%2F1db838da-849c-43d0-aba2-63964a3161dd%2Fri556xx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the given initial-value problem. The DE is a Bernoulli equation.
x2 dy - 2xy = 6y4, y(1) = 1/1/2
dx
x
3
18
x
Need Help?
10
X
Read It
Watch It
![Consider the initial value problem y' = y¹/3, y(0) = 0 for t 20. (Let to indicate the location of the jump discontinuity.)
(a) Is there a solution that passes through the point (1, 1)? If so, find it. (If there is no solution, enter NO SOLUTION.)
to = 0
(b) Is there a solution that passes through the point (4, 1)? If so, find it. (If there is no solution, enter NO SOLUTION.)
to NO SOLUTION
=
(c) Consider all possible solutions of the given initial value problem. Determine the set of values that these solutions have at t = 4.
|0 y(4) ≥ (16) 3/²
≤ (16) 3/²2
y(4) s
y(4) = 0
Oly(4)| ≤ (3)³/2
Oly(4) 2
813/2
w|00
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb52044d-d588-4d60-8413-960f544d05a0%2F1db838da-849c-43d0-aba2-63964a3161dd%2Fmz0jlen_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the initial value problem y' = y¹/3, y(0) = 0 for t 20. (Let to indicate the location of the jump discontinuity.)
(a) Is there a solution that passes through the point (1, 1)? If so, find it. (If there is no solution, enter NO SOLUTION.)
to = 0
(b) Is there a solution that passes through the point (4, 1)? If so, find it. (If there is no solution, enter NO SOLUTION.)
to NO SOLUTION
=
(c) Consider all possible solutions of the given initial value problem. Determine the set of values that these solutions have at t = 4.
|0 y(4) ≥ (16) 3/²
≤ (16) 3/²2
y(4) s
y(4) = 0
Oly(4)| ≤ (3)³/2
Oly(4) 2
813/2
w|00
X
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