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17. Consider the initial value problem y' = y¹/3, y(0) = 0 from Example 3 in the text. a. Is there a solution that passes through the point (1, 1)? If so, find it. b. Is there a solution that passes through the point (2, 1)? If so, find it. c. Consider all possible solutions of the given initial value problem. Determine the set of values that these solutions have at t = 2.

17. Consider the initial value problem y' = y¹/3, y(0) = 0 from Example 3 in the text. a. Is there a solution that passes through the point (1, 1)? If so, find it. b. Is there a solution that passes through the point (2, 1)? If so, find it. c. Consider all possible solutions of the given initial value problem. Determine the set of values that these solutions have at t = 2.

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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17. Consider the initial value problem y' = y¹/3, y(0) : = 0 from Example 3 in the text. a. Is there a solution that passes through the point (1, 1) ? If so, find it. b. Is there a solution that passes through the point (2, 1)? If so, find it. c. Consider all possible solutions of the given initial value problem. Determine the set of values that these solutions have at t = 2.
Transcribed Image Text:17. Consider the initial value problem y' = y¹/3, y(0) : = 0 from Example 3 in the text. a. Is there a solution that passes through the point (1, 1) ? If so, find it. b. Is there a solution that passes through the point (2, 1)? If so, find it. c. Consider all possible solutions of the given initial value problem. Determine the set of values that these solutions have at t = 2.
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