## Elementary Differential Equations with Linear AlgebraDesigned for use by sophomore engineering or junior physical science majors, this text is suitable for an introductory course in linear algebra and differential equations or a course in differential equations with a linear algebra prerequisite. This text contains detailed coverage of applied topics and includes theorems specifically applicable to engineering students. There is a new chapter on "Stability and the Phase Plane," approximately 300 new problems added throughout and several BASIC programs on nume |

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This has to be the worst textbook any instructor could pick for a introduction to the subject. The author provides useless examples that are know where near the complexity of difficulty of what is actually at the end of each sections. Only about half of the problems the answers are provided. There is no solutions manual that could even show how to go about answering the problem. Dont buy this book even if you are taking the class or find an instructor that is using a different book because you will end not learning a thing.

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The worst textbook I had

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Elementary Differential Equations with Linear Algebra Albert L. Rabenstein No preview available - 1970 |

### Common terms and phrases

arbitrary constants assume called Cauchy-Euler equation characteristic values characteristic vectors column vectors complex numbers constant coefficients converges corresponding Cramer's rule curve denote dependent derivatives determinant differential equation equation Ly Euler method example Exercises for Section exists exponential order Figure first-order system functions defined fundamental matrix given Hence homogeneous equation initial conditions initial value problem integral interval Laplace transforms linear combination linear system linear transformation linearly independent m x n matrix function multiplicity n x n matrix n-tuple nonhomogeneous equation nonsingular nonzero obtain orthogonal particular solution positive constant positive integer possesses power series Proof properties real numbers real solutions regular singular point result of Exercise Runge-Kutta method satisfies second-order Show solution of Eq solution values solve square matrix subspace Suppose system of differential tank Theorem tion unknowns vector functions vector space velocity verify Wronskian