# The Transformation of Partial Differential Equation

Using the chain rule of partial differentiation, to show that the differential equation Â Â Â Â Â Â Â Â Â Â Â Â Â

Â Â Â Â Â Â Â Au_xx + Bu_xy + Â Cu_yy + Du_x + Eu_y + Fu = G Â Â Â Â Â Â Â

Â Â transforms into the differential equation Â Â Â Â Â Â Â Â Â Â Â Â

Â Â Â Â Â Â Â A' u_,aa + B'u_bb + C'u_cc + Du_a + Eu_b + Fu = G Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â

Â Â Â 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.Â This is mainly for finding the solution of partial differential equation.

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