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3.15 Use the transformations X=(ky/kx)1/4x and Y=(kx/ky)1/4y on the PDE of the form kx(2p/x2)+ky(2p/y2)=0. What important observation can be made on the basis of this

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3.15 Use the transformations X=(ky/kx)1/4x and Y=(kx/ky)1/4y on the PDE of the form kx(2p/x2)+ky(2p/y2)=0. What important observation can be made on the basis of this transformation? 3.16 The differential equation (2p/x2)+(2p/y2)+(2p/z2)+c =0, where c is a constant, is known as the Poisson's equation. Implement the transformation (x,y,z)=p(x,y,z)+(c/2)x2 on the dependent variable p. What is the resulting PDE

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