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    The Transformation of Partial Differential Equation

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    Using the chain rule of partial differentiation, to show that the differential equation              
           Au_xx + Bu_xy +  Cu_yy + Du_x + Eu_y + Fu = G        
      transforms into the differential equation             
           A' u_,aa + B'u_bb + C'u_cc + Du_a + Eu_b + Fu = G                    

       The complete problem is in the attached file.

    © BrainMass Inc. brainmass.com December 24, 2021, 11:34 pm ad1c9bdddf
    https://brainmass.com/math/fourier-analysis/transformation-partial-differential-equation-581963

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    The solution is in the attached file.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 11:34 pm ad1c9bdddf>
    https://brainmass.com/math/fourier-analysis/transformation-partial-differential-equation-581963

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