Handbook of Exact Solutions for Ordinary Differential EquationsCRC Press, 28 paź 2002 - 816 Exact solutions of differential equations continue to play an important role in the understanding of many phenomena and processes throughout the natural sciences in that they can verify the correctness of or estimate errors in solutions reached by numerical, asymptotic, and approximate analytical methods. The new edition of this bestselling handboo |
Spis treści
Introduction Some Definitions Formulas Methods and Transformations | 1 |
Chapter 1 FirstOrder Differential Equations | 81 |
Chapter 2 SecondOrder Differential Equations | 213 |
Chapter 3 ThirdOrder Differential Equations | 495 |
Chapter 4 FourthOrder Differential Equations | 641 |
Chapter 5 HigherOrder Differential Equations | 689 |
Supplements | 735 |
| 779 | |
| 783 | |
Inne wydania - Wyświetl wszystko
Handbook of Exact Solutions for Ordinary Differential Equations Valentin F. Zaitsev,Andrei D. Polyanin Ograniczony podgląd - 2002 |
Handbook of Exact Solutions for Ordinary Differential Equations Valentin F. Zaitsev,Andrei D. Polyanin Podgląd niedostępny - 2002 |
Handbook of Exact Solutions for Ordinary Differential Equations Valentin F. Zaitsev,Andrei D. Polyanin Podgląd niedostępny - 2002 |
Kluczowe wyrazy i wyrażenia
2y leads A₁ Abel equation ae^x arbitrary arbitrary arccos arctan autonomous equation Ax)y ax² ax²y ay² be^x Bernoulli equation bx)y bx² C₁ C₁x C2 are related coefficient linear equation constant coefficient linear constants C1 contact transformation cos(x cosh cosm coth differential equation equation with respect Equations Containing first-order linear equation following notation homogeneous equation Integrating yields Mathieu equation obtain original equation Painlevé transcendent parametric form Particular solution quadratic equation Riccati equation second-order equation second-order linear equation sin(x sinh Solution in parametric solutions of equations Subsection substitution w substitution w(y tan(x tanh w₁ X Particular x x x x x²y XX Particular solution XX Solution XX The substitution xx)y XXX XX XXXX XYxxx Yxxx Yxxxx λα Ух Ухх ху