Complementary function and Particular integral of pde

Introduction: In this solution, we find Complementary function and Particular integral of a pde which is homogeneous and linearQuestion: find Complementary function and Particular integral of a homogeneous linear pde\[\frac{\partial u}{partial x^3}-3\frac{\partial^3 u}{partial x partial y}+4\frac{\partial^3 u}{partial y^3} =e^{x+2y}\]Solution:

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