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# 3) consider the heat equation: Find explicit solution by separation of variables for the following cases:...

###### Question:

3) consider the heat equation:

Find explicit solution by separation of variables for the following cases:
a f(x) = sin x

b f(x)= (sin^3)x

c f(x)= x(pi - x)

** para means 'for' and 'e' means ' and'

3) Considere o problema do Calor Ut x para 0 x<T et > 0 u (0, t)u (T, t) = 0 para t 0 u (x, 0) f (x) para 0 x<T Encontre a solução explicitamente por separação de variáveis, nos seguintes casos: a) f (x) sin b) f (x) sin3 x c) f (x) (x)

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