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Consider the following heat equation: ди at 02u 16 0 < x < 5 дх2 u(0,t) = 15, u( 5,t) = 25, u(x,0) = sin(x) To convert t

Posted: Mon May 02, 2022 4:50 pm
by answerhappygod
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Consider the following heat equation: ди at 02u 16 0 < x < 5 дх2 u(0,t) = 15, u( 5,t) = 25, u(x,0) = sin(x) To convert this equation into standard form of heat equation with homogeneous boundary conditions, the following transformation is proposed. u(x, t) = U(x, t) +0(x) a) Determine P(x). b) Determine U(x, 0).