Fundamentals of Differential EquationsThis text is in a flexible one-semester text that spans a variety of topics in the basic theory as well as applications of differential equations. |
Contents
INTRODUCTION | 1 |
2 FIRST ORDER DIFFERENTIAL EQUATIONS 25 | 25 |
Designing a Solar Collector | 67 |
Copyright | |
12 other sections not shown
Common terms and phrases
a₁ a²u approximate the solution arbitrary constants auxiliary equation c₁ c₁e c₂ c₂e Cauchy-Euler equation Chapter compute constant coefficients convergence derivatives determine differential equation discussed dy dx dy/dx eigenvalues eigenvectors equa Euler's method EXAMPLE Exercises exponential Figure formula Fourier series function fundamental solution set given Hence homogeneous equation indicial equation initial conditions initial value problem integral interval k₁ k₂ L/min Laplace transform linear equations linearly independent linearly independent solutions mass matrix motion nonhomogeneous obtain particular solution phase plane Poincaré map polynomials power series r₁ r₂ roots Runge-Kutta Runge-Kutta method satisfies second linearly independent Section separation of variables series expansion Show singular point solution to equation solve spring-mass system ẞx Substituting tank temperature Theorem tion u₁ undetermined coefficients variables vector velocity Wronskian x₁ x²y y₁ y₁(x Yp(x zero ди