Elementary Differential Equations With Boundary Value Problems
Fourth Edition

by
C. Henry Edwards
David E. Penney

Important Note: To use our websites, we recommend that you use version 5 or greater of Microsoft Internet Explorer or version 4 or greater of Netscape Navigator. In both cases, make sure you have JavaScript, cookies, and Java enabled.

If you need to upgrade your browser, go to our Browser Tune-up page.

Select a section: Section 1.1: Differential Equations and Mathematical Models Section 1.2: Integrals as General and Particular Solutions Section 1.3: Direction Fields and Solution Curves Section 1.4: Separable Equations and Applications Section 1.5: Linear First-Order Equations Section 1.6: Substitution Methods and Exact Equations Section 1.7: Population Models Section 1.8: Acceleration-Velocity Models Section 2.1: Introduction to Second-Order Linear Equations Section 2.2: General Solutions of Linear Equations Section 2.3: Homogeneous Equations with Constant Coefficients Section 2.4: Mechanical Vibrations Section 2.5: Undetermined Coefficients and Variation of Parameters Section 2.6: Forced Oscillation and Resonance Section 2.7: Electrical Circuits Section 2.8: Endpoint Problems and Eigenvalues Section 3.1: Introduction and Review of Power Series Section 3.2: Series Solutions Near Ordinary Points Section 3.3: Regular Singular Points Section 3.4: Method of Frobenius: The Exceptional Cases Section 3.5: Bessel's Equation Section 3.6: Applications of Bessel Functions Section 4.1: Laplace Transforms and Inverse Transforms Section 4.2: Transformation of Initial Value Problems Section 4.3: Translation and Partial Fractions Section 4.4: Derivatives, Integrals and Products of Transforms Section 4.5: Periodic and Piecewise Continuous Input Functions Section 4.6: Impulses and Delta Functions Section 5.1: First-Order Systems and Applications Section 5.2: The Method of Elimination Section 5.3: Matrices and Linear Systems Section 5.4: The Eigenvalue Method for Homogeneous Systems Section 5.5: Second-Order Systems and Mechanical Applications Section 5.6: Multiple Eigenvalue Solutions Section 5.7: Matrix Exponentials and Linear Systems Section 5.8: Nonhomogeneous Linear Systems Section 6.1: Numerical Approximation and Euler's Method Section 6.2: A Closer Look at the Euler Method Section 6.3: The Runge-Kutta Method Section 6.4: Numerical Methods for Systems Section 7.1: Equilibrium Solutions and Stability Section 7.2: Stability and the Phase Plane Section 7.3: Linear and Almost Linear Systems Section 7.4: Ecological Models: Predators and Competitors Section 7.5: Nonlinear Mechanical Systems Section 7.6: Chaos in Dynamical Systems Section 8.1: Periodic Functions and Trigonometric Series Section 8.2: General Fourier Series and Convergence Section 8.3: Fourier Sine and Cosine Series Section 8.4: Applications of Fourier Series Section 8.5: Heat Conduction and Separation of Variables Section 8.6: Vibrating Strings and the One-Dimensional Wave Equation Section 8.7: Steady-State Temperature and Laplace's Equation Section 9.1: Sturm-Liouville Problems and Eigenfunction Expansions Section 9.2: Applications of Eigenfunction Series Section 9.3: Steady Periodic Solutions and Natural Frequencies Section 9.4: Cylindrical Coordinate Problems Section 9.5: Higher-Dimensional Phenomena