Solve the heat equation, Solve The heat equation du/dt =

Solve the heat equation

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Reference no: EM13123273

The heat equation

Solve the following PDE:

du/dt = d^2u / dx^2 (note: partial derivatives), u(x, 0) = sin^2(x), u(0, t) = 0, u(Pi, t) = 0, 0 < x < Pi

Repeat for the following initial condition:

du/dt (x, 0) = sin^2(x) (note:partial derivatives), 0 < x < Pi

Reference no: EM13123273

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