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Solving Non-Homogeneous Differential Equations

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1. For nonhomogeneous differential equation:
y&#8242;&#8242;+ 3y&#8242;+ 2y = 4e^x
- Find two linearly independent solutions for the homogeneous portion of DE.
- Find a particular solution of the given differential equation using the method of
variation.
- Find the general solution of non-homogeneous differential equation.

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