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Chapter 62
An elementary treatise on differential equations by Abraham Cohen. DC heath publishers. 1906
62.1
Chapter 2, differential equations of the first order and the first degree. Article 8. Exact differential equations. Page 11
62.2
Chapter 2, differential equations of the first order and the first degree. Article 9. Variables searated or separable. Page 13
62.3
Chapter 2, differential equations of the first order and the first degree. Article 10. Homogeneous equations. Page 15
62.4
Chapter 2, differential equations of the first order and the first degree. Article 11. Equations in which M and N are linear but not homogeneous. Page 16
62.5
Chapter 2, differential equations of the first order and the first degree. Article 12. Page 18
62.6
Chapter 2, differential equations of the first order and the first degree. Article 13. Linear equations of first order. Page 19
62.7
Chapter 2, differential equations of the first order and the first degree. Article 14. Equations reducible to linear equations (Bernoulli). Page 21
62.8
Chapter 2, differential equations of the first order and the first degree. Article 15. Page 22
62.9
Chapter 2, differential equations of the first order and the first degree. Article 16. Integrating factors by inspection. Page 23
62.10
Chapter 2, differential equations of the first order and the first degree. Article 17. Other forms which Integrating factors can be found. Page 25
62.11
Chapter 2, differential equations of the first order and the first degree. Article 18. Transformation of variables. Page 26
62.12
Chapter 2, differential equations of the first order and the first degree. Article 19. Summary. Page 29
62.13
Chapter IV, differential equations of the first order and higher degree than the first. Article 24. Equations solvable for
\(p\)
. Page 49
62.14
Chapter IV, differential equations of the first order and higher degree than the first. Article 25. Equations solvable for
\(y\)
. Page 52
62.15
Chapter IV, differential equations of the first order and higher degree than the first. Article 26. Equations solvable for
\(x\)
. Page 55
62.16
Chapter IV, differential equations of the first order and higher degree than the first. Article 27. Clairaut equation. Page 56
62.17
Chapter IV, differential equations of the first order and higher degree than the first. Article 28. Summary. Page 59
62.18
Chapter V, Singular solutions. Article 30. Page 63
62.19
Chapter V, Singular solutions. Article 32. Page 69
62.20
Chapter V, Singular solutions. Article 33. Page 73
62.21
Chapter VII, Linear differential equations with constant coefficients. Article 43. Page 92
62.22
Chapter VII, Linear differential equations with constant coefficients. Article 44. Roots of auxiliary equation repeated. Page 94
62.23
Chapter VII, Linear differential equations with constant coefficients. Article 45. Roots of auxiliary equation complex. Page 95
62.24
Chapter VII, Linear differential equations with constant coefficients. Article 47. Particular integral. Page 100
62.25
Chapter VII, Linear differential equations with constant coefficients. Article 48. Page 103
62.26
Chapter VII, Linear differential equations with constant coefficients. Article 49. Variation of parameters. Page 106
62.27
Chapter VII, Linear differential equations with constant coefficients. Article 50. Method of undetermined coefficients. Page 107
62.28
Chapter VII, Linear differential equations with constant coefficients. Article 51. Cauchy linear equation. Page 114
62.29
Chapter VII, Linear differential equations with constant coefficients. Article 52. Summary. Page 117
62.30
Chapter VIII, Linear differential equations of the second order. Article 53. Change of dependent variable. Page 125
62.31
Chapter VIII, Linear differential equations of the second order. Article 54. Change of independent variable. Page 127
62.32
Chapter VIII, Linear differential equations of the second order. Article 55. Summary. Page 129
62.33
Chapter IX, Miscellaneous methods for solving equations of higher order than first. Article 57. Dependent variable absent. Page 132
62.34
Chapter IX, Miscellaneous methods for solving equations of higher order than first. Article 58. Independent variable absent. Page 135
62.35
Chapter IX, Miscellaneous methods for solving equations of higher order than first. Article 59. Linear equations with particular integral known. Page 136
62.36
Chapter IX, Miscellaneous methods for solving equations of higher order than first. Article 60. Exact equation. Integrating factor. Page 139
62.37
Chapter IX, Miscellaneous methods for solving equations of higher order than first. Article 61. Transformation of variables. Page 143
62.38
Chapter IX, Miscellaneous methods for solving equations of higher order than first. Article 62. Summary. Page 144
62.39
Chapter X, System of simulataneous equations. Article 64. Systems of linear equations with constant coefficients. Page 150
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