- #1

krocho

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Hi I have this problem

Reduce to normal form the following equation

x

First I guess by normal form , they mean a more standard equation, for example Laplacian.

I usually know what to do when the coefficients are constants, but in this case I don't know.I think it is possible to transform this into a Laplacian

, because we haven't seen the wave equation.

So I tried to do a change of variables, and to get the Laplacian I need to solve a system of four differential equations, do you think this is the way it should be done or there is an easier change of variables I should try.

thanks

Reduce to normal form the following equation

x

^{2}d^{2}f/dx^{2}-y^{2}d^{2}f/dy^{2}=xy.First I guess by normal form , they mean a more standard equation, for example Laplacian.

I usually know what to do when the coefficients are constants, but in this case I don't know.I think it is possible to transform this into a Laplacian

, because we haven't seen the wave equation.

So I tried to do a change of variables, and to get the Laplacian I need to solve a system of four differential equations, do you think this is the way it should be done or there is an easier change of variables I should try.

thanks

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