9781337604994

First Course in Differential Equations with Modeling Applications

Dennis G. Zill

11th Edition

This Seventh Edition maintains the all the winning qualities that have made A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS a best-seller over the years. Written in a straightforward, helpful, not-too-theoretical manner Zill's approach keeps students with differing levels firmly in mind. The new edition strikes a perfect balance between the teaching of

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