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Find the function y2 of t which is the solution of 49y" – 56y = 0 with initial conditions 2 (0) = 0, y(0) = 1. Y2 = Find the Wronskian W(t) = W (y1, Y2). W(t) Remark: You can find W by direct computation and use Abel's theorem as a check. You should find that W is not zero and so y, and y form a fundamental set of solutions of

Find the function y2 of t which is the solution of 49y" – 56y = 0 with initial conditions 2 (0) = 0, y(0) = 1. Y2 = Find the Wronskian W(t) = W (y1, Y2). W(t) Remark: You can find W by direct computation and use Abel's theorem as a check. You should find that W is not zero and so y, and y form a fundamental set of solutions of

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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With y1 = 1

Find the function y, of t which is the solution of 49y" – 56y' = 0 with initial conditions Y2 (0) = 0, y (0) = 1. Y2 = Find the Wronskian W (t) = W (y1, Y2). W(t) = Remark: You can find W by direct computation and use Abel's theorem as a check. You should find that W is not zero and so y and y, form a fundamental set of solutions of 49y" – 56y = 0.
Transcribed Image Text:Find the function y, of t which is the solution of 49y" – 56y' = 0 with initial conditions Y2 (0) = 0, y (0) = 1. Y2 = Find the Wronskian W (t) = W (y1, Y2). W(t) = Remark: You can find W by direct computation and use Abel's theorem as a check. You should find that W is not zero and so y and y, form a fundamental set of solutions of 49y" – 56y = 0.
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