( Complete Solution Manual - pp.736) - for ... Dennis G. Zill - First Course Differential Equations with Modeling Applications (7nd Ed.) & Boundary-Value Problems Dennis (5nd Ed.).pdf
( Complete Solution Manual - pp.736) - for ... Dennis G. Zill - First Course Differential Equations with Modeling Applications (7nd Ed.) & Boundary-Value Problems Dennis (5nd Ed.).pdf
COMPLETE SOLUTIONS MANUAL FOR ZILL'S A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS 7TH EDITION AND ZILL & CULLEN'S DIFFERENTIAL EQUATIONS WITH BOUNDARY·VALUE PROBLEMS 5TH EDITION BROOKS/COLE THOMSON LEARNING Australia • Canada • Mexico • Singapore • Spain • United Kingdom • United States Table of Contents 1 Introduction to Differential Equations 1 2 First-Order Differential Equations 22 3 Modeling with First-Order Differential Equations 71 4 Higher-Order Differential Equations 104 5 Modeling with Higher-Order Differential Equations 194 6 Series Solutions of Linear Equations 240 7 The Laplace Transform 308 8 Systems of Linear First-Order Differential Equations 370 9 Numerical Solutions of Ordinary Differential Equations 430 10 Plane Autonomous Systems and Stability 458 11 Orthogonal Functions and Fourier Series 491 12 Partial Differential Equations and Boundary-Value Problems in Rectangular Coordinates 538 13 Boundary-Value Problems in Other Coordinate Systems 616 14 Integral Transform Method 654 15 Numerical Solutions of Partial Differential Equations 695 Appendix I Gamma function 717 Appendix II Introduction to Matrices 718 1 Introduction to Differential Equations Exercises --------------- 1. Second-order; linear. 2. Third-order; nonlinear because of (dyjdx)4. 3. The differential equation is first-order. Writing it in thti form x(dyjdx) + y2 = 1, we see that it is nonlinear in y because of y2 However, writing it in the form - 1) (dx j dy) + x = 0, we see that it is linear in x. 4. differential equation is first-order. Writing it in the form u(dvjdu) + (1 + ueu we see that it is linear in v. However, writing it in the form (v + uv ue11 )(d·ujdv) + u 0, we see that it is nonlinear in u. 5. Fourth-order; linear 6. Second-order; nonlinear because of cos(r + u) 7. Second-order; nonlinear because of yl + (dyjdx
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