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2. Use the separation of variables method to determine the solution u(x; t) of the heat equation subject to the conditions a²u ax² ди = 44, 0 0 u(0; t) = 0, u(n; t) = 0 u(x; 0) = cosx,0

2. Use the separation of variables method to determine the solution u(x; t) of the heat equation subject to the conditions a²u ax² ди = 44, 0 0 u(0; t) = 0, u(n; t) = 0 u(x; 0) = cosx,0

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
Section11.3: Euler's Method
Problem 1YT: Use Eulers method to approximate the solution of dydtx2y2=1, with y(0)=2, for [0,1]. Use h=0.2.
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2. Use the separation of variables method to determine the solution u(x; t) of the heat equation 2²u əx² = 4 ди at 0<x<π, t> 0 subject to the conditions u(0; t) = 0, u(n; t) = 0 u(x; 0) = cosx, 0<x< π
Transcribed Image Text:2. Use the separation of variables method to determine the solution u(x; t) of the heat equation 2²u əx² = 4 ди at 0<x<π, t> 0 subject to the conditions u(0; t) = 0, u(n; t) = 0 u(x; 0) = cosx, 0<x< π
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