B.C.ICSolve Completely to the final form of the 200Solution as a Fourier Series the heatequation boundary value problem. BIA(homogeneous PDĚ, Dirichlet non- homogeneousbut constant B.C. )S sul suloc.XE [₂1] L= 4₁, k = 3 t₁ z 02u24- R 2²u = 012x² 10 7 Laodfopu(0₁t) = 5 W rot sand on A 10 diau(L₁ t) = -5u(x₂0.) = x154.25الدين9-11www.#10) med + Carme) 203-1)00 + ((1) 012 ; - (1) 200 - 1) 1)

Given Heat equation is the following :Let, so we get By substitution ,we get

B.C. IC Solve. Completely to the final form of the 200 Solution as a Fourier Series the heat LA equation boundary value problem. (homogeneous PDĚ, Dirichlet non- homogeneous but constant B.C. ) XE [₂1] L= 4₁ k=3² tizon 2u 2t R 2²u = 0 2x² 0 vot fond op wal : j u(0₁ t) = 5 5 0 vot dand on : sou dia u(Lt) = -5 u(x₂0) = x 7+ لعين

B.C. IC Solve. Completely to the final form of the 200 Solution as a Fourier Series the heat LA equation boundary value problem. (homogeneous PDĚ, Dirichlet non- homogeneous but constant B.C. ) XE [₂1] L= 4₁ k=3² tizon 2u 2t R 2²u = 0 2x² 0 vot fond op wal : j u(0₁ t) = 5 5 0 vot dand on : sou dia u(Lt) = -5 u(x₂0) = x 7+ لعين

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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