Differential Equations with Boundary Value Problems

this Book Provides Readers With A Solid Introduction To Differential Equations And Their Applications Emphasizing Analytical, Qualitative, And Numerical Methods. Numerical Methods Are Presented Early In The Text, Including A Discussion Of Error Estimates For The Euler, Heun, And Runge-kutta Methods. Systems And The Phase Plane Are Also Introduced Early, First In The Context Of Pairs First-order Equations, And Then In The Context Of Second-order Linear Equations. Other Chapter Topics Include The Laplace Transform, Linear First-order Systems, Geometry Of Autonomous Systems In The Plane, Nonlinear Systems In Applications, Diffusion Problems And Fourier Series, And Further Topics In Pdes.

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designed For Use In An Introductory Differential Equations Course, This Textbook Emphasizes The Behavior Of The Solutions Rather Than The Application Of Formulas. It Covers: Linear And Non-linear First- Order Equations, Second-order Linear Equations, The Laplace Transform, First-order Linear Systems, The Geometry Of Autonomous Systems In The Plane, Nonlinear Systems In Applications, Diffusion Problems In Fourier Space, And Pdes. Appendices Review Linear Algebra, Continuity And Differentiability On Intervals, Local Existence And Uniqueness Proofs, Linear Differential Equations Of Arbitrary Order, And Keys To Solving The Book's Problems. Hollis Teaches At Armstrong Atlantic State University. Annotation C. Book News, Inc., Portland, Or (booknews.com)