particular integral in a sentence

Examples

1. It is particularly important to the solution of the general case, since any complementary function can be added to a solution of the inhomogeneous equation to give another solution ( by a method traditionally called " particular integral and complementary function " ).
2. For each SODE I can find the complementary function and with the first one, I can find the particular integral in the cases t, \ pi and t > 2 \ pi but I don't know how to ensure that the solution is continuous at pi and 2pi.