To derive the general solution given by equations (17)–(20) for the nonhomogeneous equation (16), complete the following steps:

(a) Substitute and the Maclaurin series for sin x into equation (16) to obtain

(b) Equate the coefficients of like powers of x on both sides of the equation in part (a) and thereby deduce the equations

(c) Show that the relations in part (b) yield the general solution to (16) given in equations (17)–(20).

CEM 141 Lecture 27: Introduction to Lewis Structures Dr. Jian Hu th November 7 , 2016 Review of Covalent Bonding Valence electrons of one atom are constantly attracted to the nucleus of another The nuclei of both atoms attract electrons as they are held in between the two nuclei, causing the two atoms to stay together as a unit The electrostatic force that causes these subatomic particles to attract is what drives covalent bonding The system becomes stabilized when a covalent bond forms, and the potential energy decreases Bond energy is determined by the depth of the potential energy curve on the vertical axis; bond length is determined by the position of the potential energy curve on the horizontal axis Carb