Particular Solution Methods for Forced Equations

We have seen at the beginning of the chapter that forced equations give rise to solutions, which are particular to the form taken by the forcing function f(x). We consider the case of constant coefficients as follows  

We discussed methods of finding ycix) in the previous section, and now we discuss general methods of finding the particular integral, y ix). 

There are three widely used methods to find yp(x) the first two are applicable only to the case of constant coefficients 

Method of Undetermined Coefficients This is a rather evolutionary technique, which builds on the functional form taken by fix). 

Method of Inverse Operators This method builds on the property that integration as an operation is the inverse of differentiation. 

---