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1. Equations of First Order and Degree 2. Geometrical Representation 3. Primitive of a Differential Equation 4. Exact Differential Equation 5. Homogeneous Equation 6. The Linear Equation 7. First Order and Second Degree 8. Singular Solution 9. Singular Solution from the Complete Integral 10. Solution by Differentiation 11. Geometric Applications Trajectories 12. Simultaneous Differential Equations 13. Equations of second Order 14. The Two First Integrals 15. Linear Equations 16. Linear Equations with Constant Coefficients 17. Homogeneous Linear Equations 18. Solutions in Infinite Series 19. Systems of Differential Equations 20. First order and Degree with Three Variables 21. Partial Differential Equations of First Order and Degree 22. Complete and General Integrals 23. Complete Integral for Special Forms 24. Partial Equations of Second Order 25. Linear Partial Differential Equations
The book Differential Equations by William Woolsey Johnson is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. The differential equation must necessarily at first be viewed in connection with a 'primitive', from which it might have been obtained by the direct process, and the solution consists in the discovery, by tentative and more or less artificial methods, of such a primitive, when it exists.
Title: Differential Equations by William Woolsey Johnson Publisher: Wiley, New York Year: 1906 Pages: 96 Type: PDF Language: English ISBN-10 #: B007SPAUEQ ISBN-13 #: N/A License: Public Domain Work Amazon: Amazon
The author William Woolsey Johnson , Professor of Mathematics, United States Naval Academy
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