Demonstrates that the ODE is the exact solution of: d'u +Bu = 4,, xE[a,b], a, >0, B,

Demonstrates that the ODE is the exact solution of:

Transcribed Image Text:

d'u +Bu = 4,, xE[a,b], a, >0, B, 20, 4, >0 dr Boundary conditions u(a)=ua,u(b)=u, Exact solution (u, - % )sinhr,(b-x)+ (4, - )sinh r,(x-a) B. B. +4 xe(a,b) 5,-, B. 9. (x)= B, >0 sinh r,(b-a) d'u +Bu = 4,, xE[a,b], a, >0, B, 20, 4, >0 dr Boundary conditions u(a)=ua,u(b)=u, Exact solution (u, - % )sinhr,(b-x)+ (4, - )sinh r,(x-a) B. B. +4 xe(a,b) 5,-, B. 9. (x)= B, >0 sinh r,(b-a)