Solutions of the Examples in a Treatise on Differential Equations (Classic Reprint)

In preparing this volume of solutions of the examples in my Treatise on Differential Equations, I have worked out each example myself. In the preface to the first edition, there was a guarding phrase I cannot hope that, among so many, all results given are correct and all equations set are soluble. I am glad to find that, with possibly three exceptions, all the equations have proved soluble. But it is not possible to guarantee that all my solutions are correct. I had not the courage to ask anyone to share in the labour of revision; and I shall be glad to receive corrections of mistakes or misprints found by those who use the book. The references relate to the fourth edition of the Treatise. The first German edition of the Treatise, translated -by the lateD rH. Maser, contained the solutions of most of the examples in my own first and second editions not a few of them were supplied to him by me. But my later editions contained a vast added array of equations, not solved in the second German edition. To make the volume complete, all the questions (except where the results were taken from original memoirs) were worked out anew from the beginning. I have had in mind principally the needs of teachers and only subsidiarily the ease of students who are in a position to follow courses of instruction. My hope is that the volume will prove useful to those for whose benefit it has been compiled. And I wish to thank theS taff of the University Press at Cambridge for their care in printing the book. A. R. F. Imperial College of Science and Technology, London, S.W. 15 May
(Typographical errors above are due to OCR software and don't occur in the book.)

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