Differential Equations with BoundaryValue ProblemsDIFFERENTIAL EQUATIONS WITH BOUNDARYVALUE PROBLEMS, 7th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible text speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, Remarks boxes, definitions, and group projects. Using a straightforward, readable, and helpful style, this book provides a thorough treatment of boundaryvalue problems and partial differential equations. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. 
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Review: Differential Equations with BoundaryValue Problems
User Review  Nelson  GoodreadsI absolutely love this book. I'm in graduatelevel PDEs right now and I still use this book as a reference. It contains examples for just about every type of problem. It offers sufficient explanation ... Read full review
Review: Differential Equations with BoundaryValue Problems
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Contents
INTRODUCTION TO DIFFERENTIAL EQUATIONS  1 
FIRSTORDER DIFFERENTIAL EQUATIONS  34 
MODELING WITH FIRSTORDER DIFFERENTIAL EQUATIONS  82 
HIGHERORDER DIFFERENTIAL EQUATIONS  117 
MODELING WITH HIGHERORDER DIFFERENTIAL EQUATIONS  181 
SERIES SOLUTIONS OF LINEAR EQUATIONS  219 
THE LAPLACE TRANSFORM  255 
SYSTEMS OF LINEAR FIRSTORDER DIFFERENTIAL EQUATIONS  303 
BOUNDARYVALUE PROBLEMS IN RECTANGULAR COORDINATES  432 
BOUNDARYVALUE PROBLEMS IN OTHER COORDINATE SYSTEMS  471 
INTEGRAL TRANSFORMS  488 
NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS  511 
GAMMA FUNCTION  527 
MATRICES  529 
LAPLACE TRANSFORMS  547 
ANSWERS FOR SELECTED ODDNUMBERED PROBLEMS  551 
Common terms and phrases
Answers to selected approximate autonomous system boundary conditions boundaryvalue problem CauchyEuler equation constant converges cosh critical point defined determine dx dt dy dt dy dx dydx eigenvalues eigenvector equa equilibrium position Euler’s method Example Exercises explicit solution family of solutions firstorder differential equation Fourier series function given differential equation Graph for Problem heat equation homogeneous initial conditions initialvalue problem integral interval Laplace transform linear system linearly independent mass matrix motion nonhomogeneous nonlinear numerical solver obtain odd function oddnumbered problems begin orthogonal partial differential equation particular solution plane autonomous system polynomial power series regular singular point REVIEW MATERIAL RK4 method Section selected oddnumbered problems separation of variables series solution shown in Figure singular point sinh solution curve solve the given spring SturmLiouville problem superposition principle tank Theorem tion values variables vector velocity zero