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Given: The given Laplace equation is = 0,0 < x < a, 0 < y < b and the given boundary conditions are o = 0, = 0, u (x, 0) = x and u (x, b) = 0.

Given: The given Laplace equation is = 0,0 < x < a, 0 < y < b and the given boundary conditions are o = 0, = 0, u (x, 0) = x and u (x, b) = 0.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I don't understand why u(x,y)=u0(x,y)+u1(x,y)+u2(x,y). I also don't understand why f(x)=x. Can you please explain it to me? Thank you

Safari File Edit View History Bookmarks Window Help Thu 12:53 PM > A bartleby.com Install SimUText Hw 2 - pchandr4@binghamton.edu - Binghamton University Mail In Problems 1-10 solve Laplace's equation (1) for a rectangular plate subject to the given boundary conditions. 4. à u d x | x = 0 = 0, d ud x|x = a = 0... Install SimUText = bartleby Search for textbooks, step-by-step explanations to homework . Ask an Expert Screen Shot 2021-04...4.13 PM Bundle: Differential Equations with Bou... < Chapter 12.5, Problem 4E > Get live help whenever you need from online tutors! Try bartleby tutor today → Given: Feb 18, 2021 at 11-18 P..pnglmage The given Laplace equation is + = 0,0 < x < a, 0 < y < b and the dx2 given boundary conditions are 6hjil39_processed jpeg ди ar -0 = 0, = 0, u (x, 0) = x and u (x, b) = 0. Edited dx lx=0 dx Ix=a 6EEO...eglmage Calculation: Edited - SA4.eglmage The given Laplace equation for rectangular plate is, Edited - = 0 ду? 06C9...eglmage dx2 Consider the equation, и (х, у) 3 ио (х, у) + иј (х, у) + и2 (х, у) (1) X GET 10 FREE QUESTIONS Separate the variables, Privacy - Terms X" Y" 1and APR1 tv
Transcribed Image Text:Safari File Edit View History Bookmarks Window Help Thu 12:53 PM > A bartleby.com Install SimUText Hw 2 - pchandr4@binghamton.edu - Binghamton University Mail In Problems 1-10 solve Laplace's equation (1) for a rectangular plate subject to the given boundary conditions. 4. à u d x | x = 0 = 0, d ud x|x = a = 0... Install SimUText = bartleby Search for textbooks, step-by-step explanations to homework . Ask an Expert Screen Shot 2021-04...4.13 PM Bundle: Differential Equations with Bou... < Chapter 12.5, Problem 4E > Get live help whenever you need from online tutors! Try bartleby tutor today → Given: Feb 18, 2021 at 11-18 P..pnglmage The given Laplace equation is + = 0,0 < x < a, 0 < y < b and the dx2 given boundary conditions are 6hjil39_processed jpeg ди ar -0 = 0, = 0, u (x, 0) = x and u (x, b) = 0. Edited dx lx=0 dx Ix=a 6EEO...eglmage Calculation: Edited - SA4.eglmage The given Laplace equation for rectangular plate is, Edited - = 0 ду? 06C9...eglmage dx2 Consider the equation, и (х, у) 3 ио (х, у) + иј (х, у) + и2 (х, у) (1) X GET 10 FREE QUESTIONS Separate the variables, Privacy - Terms X" Y" 1and APR1 tv
Safari File Edit View History Bookmarks Window Help Thu 12:53 PM > A bartleby.com Install SimUText Hw 2 - pchandr4@binghamton.edu - Binghamton University Mail In Problems 1-10 solve Laplace's equation (1) for a rectangular plate subject to the given boundary conditions. 4. à u d x | x = 0 = 0, d ud x|x = a = 0... Install SimUText = bartleby Search for textbooks, step-by-step explanations to homework . Ask an Expert Screen Shot 2021-04...4.13 PM Bundle: Differential Equations with Bou... < Chapter 12.5, Problem 4E > Screen Shot 2021-04...3.24 PM Get live help whenever you need from online tutors! Try bartleby tutor today → Substitute the value of X (x) from equation (6) and the value of Y (y) from equation (8) in equation (4), Feb 18, 2021 at 11-18 P..pnglmage ио (х, у) — с2C3 (у — -b) Rewrite the term c2c3 = Ao in the above equation, 6hjil39_processed jpeg Edited 6EEO...eglmage ио (х, у) %3D Ao (у — b) (9) Edited - At boundary condition u (x, 0) = x, SA4.eglmage Substitute uo (x, 0) = ƒ (x) and f (x) = x in equation (9), Edited - 06C9...eglmage -bAo = a a A0 = - 2b Substitute the value of Ao in equation (9), X GET 10 FREE QUESTIONS ио (х, у) %3D , (6 — у) (10) Privacy - Terms APR1 tv
Transcribed Image Text:Safari File Edit View History Bookmarks Window Help Thu 12:53 PM > A bartleby.com Install SimUText Hw 2 - pchandr4@binghamton.edu - Binghamton University Mail In Problems 1-10 solve Laplace's equation (1) for a rectangular plate subject to the given boundary conditions. 4. à u d x | x = 0 = 0, d ud x|x = a = 0... Install SimUText = bartleby Search for textbooks, step-by-step explanations to homework . Ask an Expert Screen Shot 2021-04...4.13 PM Bundle: Differential Equations with Bou... < Chapter 12.5, Problem 4E > Screen Shot 2021-04...3.24 PM Get live help whenever you need from online tutors! Try bartleby tutor today → Substitute the value of X (x) from equation (6) and the value of Y (y) from equation (8) in equation (4), Feb 18, 2021 at 11-18 P..pnglmage ио (х, у) — с2C3 (у — -b) Rewrite the term c2c3 = Ao in the above equation, 6hjil39_processed jpeg Edited 6EEO...eglmage ио (х, у) %3D Ao (у — b) (9) Edited - At boundary condition u (x, 0) = x, SA4.eglmage Substitute uo (x, 0) = ƒ (x) and f (x) = x in equation (9), Edited - 06C9...eglmage -bAo = a a A0 = - 2b Substitute the value of Ao in equation (9), X GET 10 FREE QUESTIONS ио (х, у) %3D , (6 — у) (10) Privacy - Terms APR1 tv
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