9781305965799

Differential Equations with Boundary-Value Problems

Dennis G. Zill

9th Edition

Straightforward and easy to read, DIFFERENTIAL EQUATIONS WITH BOUNDARY-VALUE PROBLEMS, 9th Edition, gives you a thorough overview of the topics typically taught in a first course in Differential Equations as well as an introduction to boundary-value problems and partial Differential Equations. Your study will be supported by a bounty of pedagogical aids, including an abund

4-1

Preliminary Theory-Linear Equations

Exercises

p.130

4-2

Reduction of Order

Exercises

p.134

4-3

homogeneous Linear Equations with Constant Coefficients

Exercises

p.140

4-4

Undetermined Coefficients-Superposition Approach*

Exercises

p.150

4-5

Undetermined Coefficients-Annihilator Approach

Exercises

p.158

4-6

Variation of Parameters

Exercises

p.165

4-7

Cauchy-Euler Equations

Exercises

p.171

4-8

Green's Functions

Exercises

p.182

4-9

Solving Systems of Linear DEs by Elimination

Exercises

p.187

4-10

Nonlinear Differential Equations

Exercises

p.192

Chapter in Review

p.193

7-1

Definitions of the Laplace Transform

Exercises

p.285

7-2

Inverse Transforms and Transforms of Derivatives

Exercises

p.293

7-3

Operational Properties I

Exercises

p.303

7-4

Operational Properties II

Exercises

p.315

7-5

The Dirac Delta Function

Exercises

p.321

7-6

Systems of Linear Differential Equations

Exercises

p.325

Chapter in Review

p.327

12-1

Separable Partial Differential Equations

Exercises

p.464

12-2

Classical PDEs and Boundary-Value Problems

Exercises

p.470

12-3

Heat Equation

Exercises

p.473

12-4

Wave Equation

Exercises

p.477

12-5

Laplace's Equation

Exercises

p.483

12-6

Nonhomogeneous Boundary-Value Problems

Exercises

p.490

12-7

Orthogonal Series Expansions

Exercises

p.495

12-8

Higher-Dimensional Problems

Exercises

p.499

Chapter in Review

p.499