Solve the heat flow problem du t du x Ju (0,t)=0, (x, t),= 0,...

  

Transcribed Image Text:

Solve the heat flow problem du Ət du ди əx ди J²u (0,t)=0, (x, t),= 0, <=4 ər u(x,0)= 1- cos 4x + 2 cos 7x, ,0²u T Ət 0x²¹ u(0, t) = 0, u(, t), 0, u(x,0)= x, Note: In these problems, it is not necessary to repeat the method of separation of variables; you may use the appropriate formal solution of the PDE and the boundary conditions found in the lecture notes. (b) (10 Marks) Solve the heat flow problem 0<x<n, t> 0, t> 0. t> 0, 0<x<*. 0<x<n, t> 0, t> 0, t> 0, 0≤x≤n. Solve the heat flow problem du Ət du ди əx ди J²u (0,t)=0, (x, t),= 0, <=4 ər u(x,0)= 1- cos 4x + 2 cos 7x, ,0²u T Ət 0x²¹ u(0, t) = 0, u(, t), 0, u(x,0)= x, Note: In these problems, it is not necessary to repeat the method of separation of variables; you may use the appropriate formal solution of the PDE and the boundary conditions found in the lecture notes. (b) (10 Marks) Solve the heat flow problem 0<x<n, t> 0, t> 0. t> 0, 0<x<*. 0<x<n, t> 0, t> 0, t> 0, 0≤x≤n.

Answer rating: 100% (QA)

SOLUTION Solutions To 111 Cure f d 0 AE Car 15 d 2 Solve 9 ur 4 0 t 0 u 120 cs Scanned ... View the full answer