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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
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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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
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
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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