Solve the following PDEs with Boundary conditions using separable Method

(b)  Suppose we wish to find the steady-state temperature u(x,y) in a regular plate whose vertical edges x=0 and x=a are insulated. when no heat escapes from the lateral faces of the plate,  we solve the following boundary-value problem 

 

Transcribed Image Text:

(a) d²u d²u əx² Ət²⁹ u(0, t) = 0, u(L, t) = 0, t> 0 a²- = u(x, 0) = f(x), 0<x<L, t> 0 du at t=0 = g(x), 0<x< L. (a) d²u d²u əx² Ət²⁹ u(0, t) = 0, u(L, t) = 0, t> 0 a²- = u(x, 0) = f(x), 0<x<L, t> 0 du at t=0 = g(x), 0<x< L.

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It looks like there is some confusion in your question Youve mentioned steadystate temperature but provided the images of two different partial differential equations PDEs The first image presents a t... View the full answer