Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
12. u(0, t) 100, u(1, t) = 100, f(x) = 50 x(1x), L = 1, c = 1. An = C, and u(x, t) = u₁(x) + u₂(x, t). |u2(x,t) = Ebne n=1 (6) (7) (8) -X²/t u1 (X) sin bn=f(f(x)-( -x+ Ti)) sin x dx. T₂ - T1 L Nonzero Boundary Conditions Consider the heat boundary value problem du = c² ², u(0, t) = T₁ and NT L u(x, 0)= f(x), 0 < x 0, u(L, t) = T2, t> 0, 0

12. u(0, t) 100, u(1, t) = 100, f(x) = 50 x(1x), L = 1, c = 1. An = C, and u(x, t) = u₁(x) + u₂(x, t). |u2(x,t) = Ebne n=1 (6) (7) (8) -X²/t u1 (X) sin bn=f(f(x)-( -x+ Ti)) sin x dx. T₂ - T1 L Nonzero Boundary Conditions Consider the heat boundary value problem du = c² ², u(0, t) = T₁ and NT L u(x, 0)= f(x), 0 < x 0, u(L, t) = T2, t> 0, 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
See similar textbooks
icon
Related questions
Question

heat boundry value PDE

12. u(0, t) = 100, u(1, t) = 100, f(x) = 50 x(1 − x), L = 1, c = 1. An = C, and e u(x, t) = u₁(x) + u₂(x, t). (6) (7) (8) u2(x,t) = Σ bne-at n=1 u₁(x) bn = ² √ ¹ (f(x) – T2 - T ( L L Nπ sin -X, L Nonzero Boundary Conditions Consider the heat boundary value problem du = c²3242, a²u It Nπ -x+ T₁)) sin x dx. u(0, t) T₁ and = 0 < x <L, t> 0, u(L, t) = T2, t> 0, u(x,0) = f(x), 0<x<L. The problem is nonhomogeneous when T₁ and T₂ are not both zer
Transcribed Image Text:12. u(0, t) = 100, u(1, t) = 100, f(x) = 50 x(1 − x), L = 1, c = 1. An = C, and e u(x, t) = u₁(x) + u₂(x, t). (6) (7) (8) u2(x,t) = Σ bne-at n=1 u₁(x) bn = ² √ ¹ (f(x) – T2 - T ( L L Nπ sin -X, L Nonzero Boundary Conditions Consider the heat boundary value problem du = c²3242, a²u It Nπ -x+ T₁)) sin x dx. u(0, t) T₁ and = 0 < x <L, t> 0, u(L, t) = T2, t> 0, u(x,0) = f(x), 0<x<L. The problem is nonhomogeneous when T₁ and T₂ are not both zer
Expert Solution
steps

Step by step

Solved in 6 steps with 32 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS