McMullen C. Differential Equations: Essential Skills Practice Workbook with Answers

Zishka Publishing, 2022. — 160 p. — ISBN: 978-1-941691-39-7.This workbook on ordinary differential equations serves either as a handy supplement to current students or as a useful review for students who have previously studied the material. This book focuses on essential techniques for solving and understanding differential equations. Topics include:
first-order differential equations.
second-order differential equations.
separable equations.
linear equations.
homogeneous equations.
exact differential equations.
autonomous differential equations.
the Wronskian.
initial-value and boundary-value problems.
applications of differential equations.
power series solutions.
recurrence relations.
Legendre, Chebyshev, Laguerre, and Hermite Polynomials.
Rodrigues’ formula.
and more.Introduction.
Kinds of Differential Equations.
Separation of Variables.
Exact First-Order Equations.
Linear First-Order Equations.
Applications with First-Order Equations.
The Wronskian.
Linear Higher-Order Equations.
Linear Homogeneous Second-Order Equations with Constant Coefficients.
Power Series Solutions.
A Few Special Polynomials.
Applications with Second-Order Equations.
Answers and Notes.