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Consider the Boundary Value problem Using the separation of variables method, the solution z(x, y), is given by the series where b - 8²u g²u + = 0, dx² Əy² u(x,0) = x(7x), u(0,y) = 0, u(7,y) = 0, &(r,Y) = 0

Consider the Boundary Value problem Using the separation of variables method, the solution z(x, y), is given by the series where b - 8²u g²u + = 0, dx² Əy² u(x,0) = x(7x), u(0,y) = 0, u(7,y) = 0, &(r,Y) = 0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 4E
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Consider the Boundary Value problem Using the separation of variables method, the solution z(x, y), is given by the series where ba - 8²u 2²u + = 0, 0<x, y<7 dx² Əy² u(x,0) = x(7x), u(x,7)=0, 0<x<7 u(0,y) = 0, u(7,y) = 0, 0<y<7 u(r.Y) -=[b, sin (172) b₁ = sinh (n (7 – 8)) sinh(nữ)
Transcribed Image Text:Consider the Boundary Value problem Using the separation of variables method, the solution z(x, y), is given by the series where ba - 8²u 2²u + = 0, 0<x, y<7 dx² Əy² u(x,0) = x(7x), u(x,7)=0, 0<x<7 u(0,y) = 0, u(7,y) = 0, 0<y<7 u(r.Y) -=[b, sin (172) b₁ = sinh (n (7 – 8)) sinh(nữ)
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[(49*pi)/[2*(n^2)]]*sinh(n*pi)+[1-cosh(n*pi)]* [49/(n^3)] The answer above is NOT correct. Entered where b₁ = Consider the Boundary Value problem J²u 2²u + = 0, 0<x, y <7 02² dy² u(x,0) = x(7x), u(x, 7) = 0, 0<x<7 u(0,y) = 0, u(7,y)=0, 0<y<7 49x Using the separation of variables method, the solution u(x, y), is given by the series म sinh (n (7 - 3)) sinh(na) 2n 49T 21² - sinh(m) + (1 – cosh(n)) Answer Preview sinh(nr)+ (1 – cosh(n)) u(x, y) =[b, sin (n 7 z). n=1 49 49 723 Result incorrect
Transcribed Image Text:[(49*pi)/[2*(n^2)]]*sinh(n*pi)+[1-cosh(n*pi)]* [49/(n^3)] The answer above is NOT correct. Entered where b₁ = Consider the Boundary Value problem J²u 2²u + = 0, 0<x, y <7 02² dy² u(x,0) = x(7x), u(x, 7) = 0, 0<x<7 u(0,y) = 0, u(7,y)=0, 0<y<7 49x Using the separation of variables method, the solution u(x, y), is given by the series म sinh (n (7 - 3)) sinh(na) 2n 49T 21² - sinh(m) + (1 – cosh(n)) Answer Preview sinh(nr)+ (1 – cosh(n)) u(x, y) =[b, sin (n 7 z). n=1 49 49 723 Result incorrect
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