DIFFERENTIAL EQUATIONS Lester Ford CONTENTS CHAPTER 1. INTRODUCTION TO DIFFERENTIAL 01 EQUATIONS 2. SPECIAL METHODS FOR THE 33 EQUATION OF THE FIRST ORDER 3. LINEAR EQUATIONS OF THE 60 SECOND ORDER 4. GENERAL LINEAR EQUATIONS 84 5. THE METHOD OF SUCCESIVE 109 APPROXIMATIONS 6. SYSTEMS OF ORDINARY EQUATIONS 120 7. CERTAIN CASSICAL EQUATIONS 150 8. INTERPOLATION AND NUMERICAL 174 INTEGRATION 9. THE NUMERICAL SOLUTION OF 207 DIFFERENTIAL EQUATIONS 10.PARTIAL DIFFERENTIAL EQUATIONS 225 OF THE FIRST ORDER 11. PARTIAL DIFFERENTIAL EQUATIONS 251 OF THE SECOND ORDER ANSWERS 279