Is Y=a+b a Solution to the Laplace Equation Given Boundary Conditions?

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member 141513
Y=a+b

because Y,aa+Y,bb=0
 
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That isn't the wave equation, that's the Laplace equation in two dimensions.

Your expression for Y is a solution if it is compatible with the boundary conditions. Boundary conditions must be specified for it to be a well-posed problem with a unique solution.

Torquil