Solve the following initial value and boundary value problem 0 x 1, t 0 u(r, t) Ut Uxx, uz (0, t) uz (1, t) 0 (u(x,0) x Solve the following initial value and boundary value problem 0 x 1, t 0 u(r, t) Ut Uxx, uz (0, t) uz (1, t) 0 (u(x,0) x ...

Lets denote the solution as u x t and write it as a product of two functions X x and T t u x t X x T ...

Solve the following initial value and boundary value problem 0 < x < 1, t >...

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Solve the following initial value and boundary value problem 0 < x < 1, t > 0 u(r, t) = Ut Uxx, uz (0, t) =

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Solve the following initial value and boundary value problem 0 < x < 1, t >...

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Solve the following initial value and boundary value problem 0 < x < 1, t > 0 u(r, t) = Ut Uxx, uz (0, t) = uz (1, t) = 0 (u(x,0) = x² = Solve the following initial value and boundary value problem 0 < x < 1, t > 0 u(r, t) = Ut Uxx, uz (0, t) = uz (1, t) = 0 (u(x,0) = x² =

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