The steady state solution is called the particular solution.

9.1 Finding the General Solution of a Separable Equation . . . . . .

This solution is a particular solution of the differential equation.

Find the general solution given the complementary solution and particular solution

fundamental set of solutions, and the general solution is

By inspection , is a particular solution. , so the general solution is

By inspection , is a particular solution. , so the general solution is

If is any (particular) solution, then the general solution is

and a particular solution to the non-homogeneous equation.

A particular solution for the system of differential Eqs.

Then the particular solution we are looking for is

and {$ x_p $} is the particular solution to the inhomogeneous equation

denotes a particular solution of the nonhomogeneous equation.

An advantage of the differential equation approach of eq.

Thus, the complete solution of this equation must include