chapter  3
146 Pages

Third-Order Differential Equations

N

w

For specific equations described below in 3.1.2-3.1.9, often only particular solutions will be given, and the general solution can be obtained by formula (3). 3 | . A nonhomogeneous linear equation of the third-order has the form

3( ) aa + 2( ) a + 1( ) + 0( ) = ( ). (4) Let 1 = 1( ) and 2 = 2( ) be two linearly independent particular solutions of the cor-

responding homogeneous equation (1). Then the general solution of equation (4) is defined by formula (3) with:

Ž = •

− § L 1 + 1

@ 3 .