Answer to Question #328144 in Differential Equations for Pankaj

Question #328144

Given an example of an elliptic partial differential equation of 2nd order,





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Expert's answer
2022-04-14T08:17:59-0400

The Laplace's equation is the example of an elliptic partial differential equation of 2nd order

2ϕ(x,y,z)=2ϕx2+2ϕy2+2ϕz2=0\nabla^2\phi(x,y,z)=\frac{\partial^2\phi}{\partial x^2}+\frac{\partial^2\phi}{\partial y^2}+\frac{\partial^2\phi}{\partial z^2}=0


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