of • verify that each oth functions Ub (ory) = y₁ Un (xry) = nunh my conx Sater fier Laplac's equation Uxx + Uyy = 0 осхип, окуля and the three boundary conclutions. 0, U₂₁ (0₁ y) = U₂ (TT₁ y) = 0₁ 1(²₁0) =0. linear conctition combination show that n=1, 2₁. any U(my) = Aoy + Σ An sinh ny asnxc n=1 Satis furs the same differential equation and boundary conditions.

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.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 15E
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0011 Please show all the steps
• verify that each oth functions
of
Dunh
Uo (xey) = y₁ Un (x₁y) =
Sater fier Laplac's equation
Uxx + Uyy = 0
and the three boundary conclutions.
0,
U₂₁ (0₁ y) = U₂ (TT₁ y) = 0₁
1(²₁0) =0.
show that
ny
winx
осхип, окуля
n=1, 2₁.
linear conctition combination
any
U(my) = Aoy + Σ An sinhny asnxc
n=1
Satis furs the same differential equation and boundary conditions.
Transcribed Image Text:• verify that each oth functions of Dunh Uo (xey) = y₁ Un (x₁y) = Sater fier Laplac's equation Uxx + Uyy = 0 and the three boundary conclutions. 0, U₂₁ (0₁ y) = U₂ (TT₁ y) = 0₁ 1(²₁0) =0. show that ny winx осхип, окуля n=1, 2₁. linear conctition combination any U(my) = Aoy + Σ An sinhny asnxc n=1 Satis furs the same differential equation and boundary conditions.
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