Partial differential equations

Quiz Content

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. If (∂F/∂x)yz = 2xy + z2/x, what can be deduced about F(x,y,z) ?

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. Given that dF = [x-1 - (y/x)2] dx + 2(y/x) dy, what is F(x,y) ?

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. Which of the following partial differential equations represents a diffusive process for the quantity Ω, where x and y are spatial coordinates and t is time?

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. Which of the following functions y(x,t), where 0=x=L and t=0, are separable solutions of the one-dimensional wave equation that satisfy the boundary conditions y(0,t)=0, ∂y/∂x(L,t)=0 and ?y/∂t(x,0)=0 ?

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. Which of the following is not true about the method of separation of variables for solving partial differential equations.

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