Elementary Differential Equations
10th Edition
ST
SOLUTIONS
UV
IA
MANUAL
_A
PP
William E. Boyce
Richard C. DiPrima
RO
Comprehensive Solutions Manual for
VE
Instructors and Students
D?
© William E. Boyce & Richard C. DiPrima
All rights reserved. Reproduction or distribution without permission is prohibited.
?
© DREAMSHUB
, Solutions Manual Companion for Elementary Differential Equations (10th
Edition)
William E. Boyce & Richard C. DiPrima
ISBN: 9780470458327
ST
UNIT 1: INTRODUCTION AND FIRST-ORDER DIFFERENTIAL
EQUATIONS
1. Introduction
UV
2. First-Order Differential Equations
UNIT 2: LINEAR DIFFERENTIAL EQUATIONS
3. Second-Order Linear Differential Equations
4. Higher-Order Linear Differential Equations
IA
5. Series Solutions of Second-Order Linear Equations
UNIT 3: TRANSFORMS AND SYSTEMS
_A
6. The Laplace Transform
7. Systems of First-Order Linear Equations
UNIT 4: NUMERICAL AND NONLINEAR METHODS
8. Numerical Methods
PP
9. Nonlinear Differential Equations and Stability
RO
VE
D?
?
© DREAMSHUB
, CHAPTER
1
ST
Introduction
UV
IA
_A
1.1
PP
1.
RO
VE
For y > 3/2, the slopes are negative, therefore the solutions are decreasing. For
y < 3/2, the slopes are positive, hence the solutions are increasing. The equilibrium
solution appears to be y(t) = 3/2, to which all other solutions converge.
D?
1
?
Downloaded by: tutorsection | Want to earn $1.236
Distribution of this document is illegal extra per year?
, 2 Chapter 1. Introduction
3.
ST
UV
For y > −3/2, the slopes are positive, therefore the solutions increase. For y <
−3/2, the slopes are negative, and hence the solutions decrease. All solutions
appear to diverge away from the equilibrium solution y(t) = −3/2.
IA
5.
_A
PP
For y > −1/2, the slopes are positive, and hence the solutions increase. For y <
−1/2, the slopes are negative, and hence the solutions decrease. All solutions
diverge away from the equilibrium solution y(t) = −1/2.
RO
6.
VE
D?
For y > −2, the slopes are positive, and hence the solutions increase. For y < −2,
the slopes are negative, and hence the solutions decrease. All solutions diverge
away from the equilibrium solution y(t) = −2.
?
Downloaded by: tutorsection | Want to earn $1.236
Distribution of this document is illegal extra per year?
10th Edition
ST
SOLUTIONS
UV
IA
MANUAL
_A
PP
William E. Boyce
Richard C. DiPrima
RO
Comprehensive Solutions Manual for
VE
Instructors and Students
D?
© William E. Boyce & Richard C. DiPrima
All rights reserved. Reproduction or distribution without permission is prohibited.
?
© DREAMSHUB
, Solutions Manual Companion for Elementary Differential Equations (10th
Edition)
William E. Boyce & Richard C. DiPrima
ISBN: 9780470458327
ST
UNIT 1: INTRODUCTION AND FIRST-ORDER DIFFERENTIAL
EQUATIONS
1. Introduction
UV
2. First-Order Differential Equations
UNIT 2: LINEAR DIFFERENTIAL EQUATIONS
3. Second-Order Linear Differential Equations
4. Higher-Order Linear Differential Equations
IA
5. Series Solutions of Second-Order Linear Equations
UNIT 3: TRANSFORMS AND SYSTEMS
_A
6. The Laplace Transform
7. Systems of First-Order Linear Equations
UNIT 4: NUMERICAL AND NONLINEAR METHODS
8. Numerical Methods
PP
9. Nonlinear Differential Equations and Stability
RO
VE
D?
?
© DREAMSHUB
, CHAPTER
1
ST
Introduction
UV
IA
_A
1.1
PP
1.
RO
VE
For y > 3/2, the slopes are negative, therefore the solutions are decreasing. For
y < 3/2, the slopes are positive, hence the solutions are increasing. The equilibrium
solution appears to be y(t) = 3/2, to which all other solutions converge.
D?
1
?
Downloaded by: tutorsection | Want to earn $1.236
Distribution of this document is illegal extra per year?
, 2 Chapter 1. Introduction
3.
ST
UV
For y > −3/2, the slopes are positive, therefore the solutions increase. For y <
−3/2, the slopes are negative, and hence the solutions decrease. All solutions
appear to diverge away from the equilibrium solution y(t) = −3/2.
IA
5.
_A
PP
For y > −1/2, the slopes are positive, and hence the solutions increase. For y <
−1/2, the slopes are negative, and hence the solutions decrease. All solutions
diverge away from the equilibrium solution y(t) = −1/2.
RO
6.
VE
D?
For y > −2, the slopes are positive, and hence the solutions increase. For y < −2,
the slopes are negative, and hence the solutions decrease. All solutions diverge
away from the equilibrium solution y(t) = −2.
?
Downloaded by: tutorsection | Want to earn $1.236
Distribution of this document is illegal extra per year?
