Chapter VI. INTEGRATION OF DIFFERENTIAL EQUATIONS BY QUADRATURES

Joseph Fels Ritt

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Chapter VI. INTEGRATION OF DIFFERENTIAL EQUATIONS BY QUADRATURES

Joseph Fels Ritt

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Ritt, Joseph Fels. "Chapter VI. INTEGRATION OF DIFFERENTIAL EQUATIONS BY QUADRATURES". Integration in Finite Terms: Liouville’S Theory of Elementary Methods, New York Chichester, West Sussex: Columbia University Press, 1948, pp. 69-77. https://doi.org/10.7312/ritt91596-007

Ritt, J. (1948). Chapter VI. INTEGRATION OF DIFFERENTIAL EQUATIONS BY QUADRATURES. In Integration in Finite Terms: Liouville’S Theory of Elementary Methods (pp. 69-77). New York Chichester, West Sussex: Columbia University Press. https://doi.org/10.7312/ritt91596-007

Ritt, J. 1948. Chapter VI. INTEGRATION OF DIFFERENTIAL EQUATIONS BY QUADRATURES. Integration in Finite Terms: Liouville’S Theory of Elementary Methods. New York Chichester, West Sussex: Columbia University Press, pp. 69-77. https://doi.org/10.7312/ritt91596-007

Ritt, Joseph Fels. "Chapter VI. INTEGRATION OF DIFFERENTIAL EQUATIONS BY QUADRATURES" In Integration in Finite Terms: Liouville’S Theory of Elementary Methods, 69-77. New York Chichester, West Sussex: Columbia University Press, 1948. https://doi.org/10.7312/ritt91596-007

Ritt J. Chapter VI. INTEGRATION OF DIFFERENTIAL EQUATIONS BY QUADRATURES. In: Integration in Finite Terms: Liouville’S Theory of Elementary Methods. New York Chichester, West Sussex: Columbia University Press; 1948. p.69-77. https://doi.org/10.7312/ritt91596-007

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Chapters in this book

Frontmatter I
PREFACE V
CONTENTS IX
Chapter I. ELEMENTARY FUNCTIONS OF ONE VARIABLE 1
Chapter II. ALGEBRAIC FUNCTIONS WITH ELEMENTARY INTEGRALS 20
Chapter III. INTEGRATION OP TRANSCENDENTAL FUNCTIONS 40
Chapter IV. FURTHER QUESTIONS ON THE ELEMENTARY FUNCTIONS 53
Chapter V. SERIES OF FRACTIONAL POWERS 61
Chapter VI. INTEGRATION OF DIFFERENTIAL EQUATIONS BY QUADRATURES 69
Chapter VII. IMPLICIT AND EXPLICIT ELEMENTARY SOLUTIONS OP DIFFERENTIAL EQUATIONS OF THE FIRST ORDER 78
Chapter VIII. FURTHER IMPLICIT PROBLEMS 87
REFERENCES 99

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https://doi.org/10.7312/ritt91596-007

Chapters in this book

Frontmatter I
PREFACE V
CONTENTS IX
Chapter I. ELEMENTARY FUNCTIONS OF ONE VARIABLE 1
Chapter II. ALGEBRAIC FUNCTIONS WITH ELEMENTARY INTEGRALS 20
Chapter III. INTEGRATION OP TRANSCENDENTAL FUNCTIONS 40
Chapter IV. FURTHER QUESTIONS ON THE ELEMENTARY FUNCTIONS 53
Chapter V. SERIES OF FRACTIONAL POWERS 61
Chapter VI. INTEGRATION OF DIFFERENTIAL EQUATIONS BY QUADRATURES 69
Chapter VII. IMPLICIT AND EXPLICIT ELEMENTARY SOLUTIONS OP DIFFERENTIAL EQUATIONS OF THE FIRST ORDER 78
Chapter VIII. FURTHER IMPLICIT PROBLEMS 87
REFERENCES 99

Chapter VI. INTEGRATION OF DIFFERENTIAL EQUATIONS BY QUADRATURES

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Chapters in this book

Chapters in this book