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Solve the inhomogeneous heat equation on the unit interval at ( t, 20 ) = (t, x) + sin(7x) cost, u(t, 0) = u(t, 1)

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Solve the inhomogeneous heat equation on the unit interval at ( t, 20 ) = (t, x) + sin(7x) cost, u(t, 0) = u(t, 1) = 0, u(0, x) = sin (2 x)

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