Chapter 4 HigherOrder Differential Equations Dennis G Zill

  • Slides: 24
Download presentation
Chapter 4 Higher-Order Differential Equations Dennis G. Zill, Differential Equations with Boundary Value Problems,

Chapter 4 Higher-Order Differential Equations Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018

Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 2

Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 2

FIGURE 4. 1. 1 Solution curves of a BVP that pass through two points

FIGURE 4. 1. 1 Solution curves of a BVP that pass through two points Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 3

FIGURE 4. 1. 2 Solution curves for BVP in part (a) of Example 3

FIGURE 4. 1. 2 Solution curves for BVP in part (a) of Example 3 Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 4

FIGURE 4. 1. 3 Set consisting of f 1 and f 2 is linearly

FIGURE 4. 1. 3 Set consisting of f 1 and f 2 is linearly independent on (−∞, ∞) Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 5

FIGURE 4. 3. 1 Solution curve of IVP in Example 2 Dennis G. Zill,

FIGURE 4. 3. 1 Solution curve of IVP in Example 2 Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 6

FIGURE 4. 3. 2 Graph for Problem 43 Dennis G. Zill, Differential Equations with

FIGURE 4. 3. 2 Graph for Problem 43 Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 7

FIGURE 4. 3. 3 Graph for Problem 44 Dennis G. Zill, Differential Equations with

FIGURE 4. 3. 3 Graph for Problem 44 Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 8

FIGURE 4. 3. 4 Graph for Problem 45 Dennis G. Zill, Differential Equations with

FIGURE 4. 3. 4 Graph for Problem 45 Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 9

FIGURE 4. 3. 5 Graph for Problem 46 Dennis G. Zill, Differential Equations with

FIGURE 4. 3. 5 Graph for Problem 46 Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 10

FIGURE 4. 3. 6 Graph for Problem 47 Dennis G. Zill, Differential Equations with

FIGURE 4. 3. 6 Graph for Problem 47 Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 11

FIGURE 4. 3. 7 Graph for Problem 48 Dennis G. Zill, Differential Equations with

FIGURE 4. 3. 7 Graph for Problem 48 Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 12

TABLE 4. 4. 1 Trial Particular Solutions Dennis G. Zill, Differential Equations with Boundary

TABLE 4. 4. 1 Trial Particular Solutions Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 13

FIGURE 4. 4. 1 Graph for Problem 45 Dennis G. Zill, Differential Equations with

FIGURE 4. 4. 1 Graph for Problem 45 Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 14

FIGURE 4. 4. 2 Graph for Problem 46 Dennis G. Zill, Differential Equations with

FIGURE 4. 4. 2 Graph for Problem 46 Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 15

FIGURE 4. 4. 3 Graph for Problem 47 Dennis G. Zill, Differential Equations with

FIGURE 4. 4. 3 Graph for Problem 47 Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 16

FIGURE 4. 4. 4 Graph for Problem 48 Dennis G. Zill, Differential Equations with

FIGURE 4. 4. 4 Graph for Problem 48 Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 17

FIGURE 4. 7. 1 Solution curve of IVP in Example 3 Dennis G. Zill,

FIGURE 4. 7. 1 Solution curve of IVP in Example 3 Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 18

FIGURE 4. 8. 1 Graph of y(x) in Example 6 Dennis G. Zill, Differential

FIGURE 4. 8. 1 Graph of y(x) in Example 6 Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 19

FIGURE 4. 9. 1 Pounds of salt in tanks A and B in Example

FIGURE 4. 9. 1 Pounds of salt in tanks A and B in Example 3 Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 20

FIGURE 4. 9. 2 Path of projectile in Problem 23 Dennis G. Zill, Differential

FIGURE 4. 9. 2 Path of projectile in Problem 23 Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 21

FIGURE 4. 9. 3 Forces in Problem 24 Dennis G. Zill, Differential Equations with

FIGURE 4. 9. 3 Forces in Problem 24 Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 22

FIGURE 4. 10. 1 Comparison of two approximate solutions in Example 3 Dennis G.

FIGURE 4. 10. 1 Comparison of two approximate solutions in Example 3 Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 23

FIGURE 4. 10. 2 Numerical solution curve for the IVP in (1) Dennis G.

FIGURE 4. 10. 2 Numerical solution curve for the IVP in (1) Dennis G. Zill, Differential Equations with Boundary Value Problems, 9 e, © 2018 24

HigherOrder Thinking Skills HOTS Apakah HigherOrder Thinking HigherorderHigherOrder Thinking Skills HOTS Apakah HigherOrder Thinking Higherorder
Chapter 11 Fourier Series Dennis G Zill DifferentialChapter 11 Fourier Series Dennis G Zill Differential
Chapter 14 Integral Transforms Dennis G Zill DifferentialChapter 14 Integral Transforms Dennis G Zill Differential
Solving Differential Equations Solving Differential Equations A differentialSolving Differential Equations Solving Differential Equations A differential
Differential Equations ordinary differential equations Definition A differentialDifferential Equations ordinary differential equations Definition A differential
Chapter 3 Linear higherorder Differential Equations Chapter 3Chapter 3 Linear higherorder Differential Equations Chapter 3
Differential Equations Ordinary differential equation ODE Partial differentialDifferential Equations Ordinary differential equation ODE Partial differential
Chapter 38 DIFFERENTIAL EQUATIONS 952021 differential equations byChapter 38 DIFFERENTIAL EQUATIONS 952021 differential equations by
CHAPTER 3 HigherOrder Differential Equations Contents v 3CHAPTER 3 HigherOrder Differential Equations Contents v 3
Chapter 4 HigherOrder Differential Equations Math202 CH1 DifinitionsChapter 4 HigherOrder Differential Equations Math202 CH1 Difinitions
Advanced Engineering Mathematics Fourth Edition Dennis G ZillAdvanced Engineering Mathematics Fourth Edition Dennis G Zill
Advanced Engineering Mathematics Fourth Edition Dennis G ZillAdvanced Engineering Mathematics Fourth Edition Dennis G Zill
Advanced Engineering Mathematics Fourth Edition Dennis G ZillAdvanced Engineering Mathematics Fourth Edition Dennis G Zill
17 SECONDORDER DIFFERENTIAL EQUATIONS SECONDORDER DIFFERENTIAL EQUATIONS Secondorder17 SECONDORDER DIFFERENTIAL EQUATIONS SECONDORDER DIFFERENTIAL EQUATIONS Secondorder
18 SECONDORDER DIFFERENTIAL EQUATIONS SECONDORDER DIFFERENTIAL EQUATIONS 1818 SECONDORDER DIFFERENTIAL EQUATIONS SECONDORDER DIFFERENTIAL EQUATIONS 18
9 DIFFERENTIAL EQUATIONS DIFFERENTIAL EQUATIONS We have looked9 DIFFERENTIAL EQUATIONS DIFFERENTIAL EQUATIONS We have looked
9 DIFFERENTIAL EQUATIONS DIFFERENTIAL EQUATIONS Unfortunately its impossible9 DIFFERENTIAL EQUATIONS DIFFERENTIAL EQUATIONS Unfortunately its impossible
Introduction to Differential Equations Differential Equations Definition AnIntroduction to Differential Equations Differential Equations Definition An
17 SECONDORDER DIFFERENTIAL EQUATIONS SECONDORDER DIFFERENTIAL EQUATIONS The17 SECONDORDER DIFFERENTIAL EQUATIONS SECONDORDER DIFFERENTIAL EQUATIONS The
9 DIFFERENTIAL EQUATIONS DIFFERENTIAL EQUATIONS We have looked9 DIFFERENTIAL EQUATIONS DIFFERENTIAL EQUATIONS We have looked
17 SECONDORDER DIFFERENTIAL EQUATIONS SECONDORDER DIFFERENTIAL EQUATIONS 1717 SECONDORDER DIFFERENTIAL EQUATIONS SECONDORDER DIFFERENTIAL EQUATIONS 17
Ordinary Differential Equations and Partial Differential Equations SolutionsOrdinary Differential Equations and Partial Differential Equations Solutions
Ordinary Differential Equations ODEs Differential equations are theOrdinary Differential Equations ODEs Differential equations are the