(a) Use the family in Problem 1 to find a solution of y'' y = 0...
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(a) Use the family in Problem 1 to find a solution of y'' ‑ y = 0 that satisfies the boundary conditions y(0) = 0, y(1) = 1.
(b) The DE in part (a) has the alternative general solution y = c3 cosh x + c4 sinh x on (‑∞,∞). Use this family to find a solution that satisfies the boundary conditions in part‑(a).
(c) Show that the solutions in parts (a) and (b) are equivalent.
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a We have y0 c 1 c 2 0 y1 c 1 e c 2 e 1 1 So that c 1 ee 2 1 and c 2 ee 2 ...View the full answer
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
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