Please help. Question 3 involves partial differential equations. Thank

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Please help. Question 3 involves partial differential equations. Thank you.

Question 3 Solve in detail the heat equation partial differential equation with
boundary conditions
u(0,t) = 0 = u(1, t)
for
t>0
(L = 1)
and with an initial temperature distribution of
%3D
f(1) = sin (nx).
Are there infinitely many terms in the infinite series? What is the limit of u(x,t)
when t goes to infinity?
Transcribed Image Text:Question 3 Solve in detail the heat equation partial differential equation with boundary conditions u(0,t) = 0 = u(1, t) for t>0 (L = 1) and with an initial temperature distribution of %3D f(1) = sin (nx). Are there infinitely many terms in the infinite series? What is the limit of u(x,t) when t goes to infinity?
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