2 [[y] = 5 b dx (±ky" ² - gpsy) ①Show the Euler-Lagrange equation is Show the general solution is Ky = pg yxx) = pg x (L-X) (L² + XL - x²) 24k with the boundary condition y(o) = y(L) = 0 P = constant

2 [[y] = 5 b dx (±ky" ² - gpsy) ①Show the Euler-Lagrange equation is Show the general solution is Ky = pg yxx) = pg x (L-X) (L² + XL - x²) 24k with the boundary condition y(o) = y(L) = 0 P = constant

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 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...

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2
[[y] = 5 b dx (±ky" ² - gpsy)
①Show the Euler-Lagrange equation is
Show the general solution is
Ky = pg
yxx) = pg x (L-X) (L² + XL - x²)
24k
with the boundary condition y(o) = y(L) = 0
P = constant

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