Find the steady-state temperature u(r,θ) in a semicirular plate of radius r=2 if: u(2,θ) = {1,  0<θ<π/2 and 0,  π/2<θ<π} and the edges θ = 0 and    0 = π are insuated.

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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Find the steady-state temperature u(r,θ) in a semicirular plate of radius r=2 if:

u(2,θ) = {1,  0<θ<π/2 and 0,  π/2<θ<π} and the edges θ = 0 and    0 = π are insuated. 

Find the steady-state temperature 1(r,0) in a semicircular plate of radius
r = 2 if
(1 0<0<n/2
u(2, 0) =
and the edges 0 = 0 and 0 = n are insulated.
0 1/2<0<A
Transcribed Image Text:Find the steady-state temperature 1(r,0) in a semicircular plate of radius r = 2 if (1 0<0<n/2 u(2, 0) = and the edges 0 = 0 and 0 = n are insulated. 0 1/2<0<A
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,