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Transforming Partial Differential Equations

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Find the region in the xy plane in which the equation [(x - y)^2 - 1] u_xx + 2u_xy + [(x - y)^2 - 1] u_yy = 0 is hyperbolic. The complete problem is in the attached file.

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Solution Summary

This solution explains the transformation of the partial differential equation into a new partial differential equation by changing the variables. The solution is given in detail. This is mainly for finding the solution of partial differential equation.