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MTR_500_HW7 - x L x t u t-= ∂ ∂ = 3 Solve the following...

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MTR 500 HW 7 1. Solve the following Partial Differential Equation using the conditions given below: 2 2 2 2 t u x u = u(0,t)=0 u(L,t)=0 u(x,0)= ¼(x(L-x)) 0 0 = = t t u 2. Solve the following Partial Differential Equation using the conditions given below: 2 2 2 2 t u x u = u(0,t)=0 u(L,t)=0 u(x,0)=0
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Unformatted text preview: ) ( x L x t u t-= ∂ ∂ = 3. Solve the following Partial Differential Equation using the conditions given below: t u x u ∂ ∂ = ∂ ∂ 2 2 u(0,t)=0 u(L,t)=0 ( 29 < < < < = = L x L L x x f x u 2 / 2 / 1 ) ( ,...
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