Solution-Show continuous partial derivative with respect to

Show continuous partial derivative with respect to time

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Reference no: EM131588197

Question: Show that a solution of the heat equation

∂u/∂t = K(∂²u/∂x²),

u(0, t) = u(L, t) = 0,

Which has one continuous partial derivative with respect to time, and two continuous partial derivatives with respect to space has the property that

Use this to conclude that solutions with this degree of smoothness are unique.

Reference no: EM131588197

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Show continuous partial derivative with respect to time

Reference no: EM131588197

Reference no: EM131588197

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