Non Homogeneous Solution

Wednesday, 10 April 2019

10:11 AM

 

The general solution of the non-homogenous equation


 

Where  is the term of the homogeneous solution

Where  is the particular solution

 

 

Guessing the formula

The formula to guess will depend on the RHS

 

Constant

Polynomial of degree

Exponential of

Product of previous forms

 

However, if the guess of  shares a term with the general solution  then we need to multiply our guess by

 

 

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