Undetermined Coefficients (Multiplying by x for Linear Independence)

This ordinary differential equations video on the method of undetermined coefficients explains how to create linear independence for particular functions of second order linear non-homogeneous equations with constant coefficients.  We describe how to make sure particular functions are linearly independent with your complementary function in your general solution by multiplying the usual particular function by x.  We work three different examples where multiplying by x is needed to make the functions linearly independent, one of which where we must multiply the particular function by x twice.
0:00  Multiplying by x
1:12  Exponential Example
7:28  Sine/Cosine Example
14:45  Multiplying by x Twice
Method of Undetermined Coefficients Intro Video:  Method of Undetermined Coefficients (...
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