Includes bibliographical references.

Lesson 1. Definitions of terms -- Lesson 2. Elimination of arbitrary constants -- Lesson 3. Families of curves -- Lesson 4. Separation of variables -- Lesson 5. Differential equations with homogeneous functions -- Lesson 6. Differential equations with coefficients linear in two variables -- Lesson 7. The linear differential equations of order one -- Lesson 8. Bernoilli's equation -- Lesson 9. Exact differential equations -- Lesson 10. Determination of integrating factors -- Lesson 11. Homogeneous linear differential equation with constant coefficients -- Lesson 12. Non-homogeneous linear differential equations with constant coefficients -- Lesson 13. Orthogonal and Isogonal Trajectories -- Lesson 14. Exponential growth and decay -- Lesson 15. Newton's Law of cooling -- Lesson 16. Newton's law of motion -- Lesson 17. Simple Circuit -- Lesson 18. Chemical Solutions.

Generally, students enrolled in elementary differential equations courses are poorly prepared for a rigorous treatment of the subject. The emphasis throughout is making the worktext readable by frequent examples and by including enough steps in working of problems so that the students will not get bogged down with complicated calculations.