Elements of Ordinary Differential Equations |
Contents
Preface | 1 |
The Method of Successive Approximations | 35 |
A Basic Inequality | 63 |
Copyright | |
79 other sections not shown
Common terms and phrases
a₁ analytic arbitrary constants auxiliary equation c₁ C₁x c₂ Chap complete equation constant coefficients cosh D²y d2y dx2 d2y dy d³y derivatives Determine discretization error dt2 dt dx2 dx dy dx equation with constant Example Find the solution following equations forcing function formula function f Green's function Hence homogeneous I.C. indicial equation initial conditions integral curve integrating factor Laplace transforms linear combination linear differential equation linear equation linearly independent method motion obtained operator particular integral particular solution phase curves piecewise continuous polynomial Prob problem quadratures r₁ r₂ reduced equation regular-singular point Riccati equation roots satisfying the I.C. Show sin² sinh solution y(x solved ẞx substitution Theorem tion u₁ values variable vector vector space velocity x²y y(xo y₁ y₁(x zero