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The eigenfunctions for y"- 2y'+ Xy = 0, y(0) = 1, y(1) = 0 are o {c² sin(nrx)} 1 00 O {e sin(")}n-1 2 o {e- sin(nrx)} 1 O {e? sin(") } O {e" sin(nnx)}n 1 o {e * sin(") 2 n=1 O {e-2 sin(naI)}n=1 00 O {e 2" sin(")}* n=1

The eigenfunctions for y"- 2y'+ Xy = 0, y(0) = 1, y(1) = 0 are o {c² sin(nrx)} 1 00 O {e sin(")}n-1 2 o {e- sin(nrx)} 1 O {e? sin(") } O {e" sin(nnx)}n 1 o {e * sin(") 2 n=1 O {e-2 sin(naI)}n=1 00 O {e 2" sin(")}* n=1

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 10E
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The eigenfunctions for y"- 2y' + Xy = 0, y(0) = 1, y(1) = 0 are o {e sin(nrx)}-1 O {e2 sin ( )}1 2 o {e- sin(nTx)} 1 o {e" sin("프)}m-1 00 O {e² 2 Jn=1 O {e2" sin(nrx)}n-1 O {e sin(")}1 2 O {e sin(nrx)} n=1 o {e- sin(")} 1 -2x
Transcribed Image Text:The eigenfunctions for y"- 2y' + Xy = 0, y(0) = 1, y(1) = 0 are o {e sin(nrx)}-1 O {e2 sin ( )}1 2 o {e- sin(nTx)} 1 o {e" sin("프)}m-1 00 O {e² 2 Jn=1 O {e2" sin(nrx)}n-1 O {e sin(")}1 2 O {e sin(nrx)} n=1 o {e- sin(")} 1 -2x
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