Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 7.6 (p. 421)- Transforms of Discontinuous Functions) 3. Find the Laplace transform of a b a a bb a abb where a b
Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 7.5 (p. 409)- Solving Initial Value Problems 11. Solve the DE ab ab Let In terms of ab ab ab ab ab ab aba b a b a
Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 7.4 (p. 400)- Inverse Laplace Transform
21. Find the inverse transform of ab a ba b a ba b
a ba b a b a b a b
Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 7.3 (p. 391)- Properties of Laplace Transforms 3. To find a b note that a b a b where ab a b a b a b To find a b
Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 7.2 (p. 385)- Definition of Laplace Transform 1. ab (
" (
where a b (
"
3.
assuming a b (
(
ab
ab
4.
(
Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 4.10 (p. 246)- Forced Mechanical Vibrations 3. where ab and ab a b ab ab Ans: An 8-kg mass is attached to a sprin
Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 4.9 (p. 238)- Free Mechanical Vibrations 1. ab ab
a b where is quadrant containing the point ^ which is 4. Ther
Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 4.5 (p. 201)- The Superposition Principle
21. Find a general solution to the DE a b a b a b ab and a b . We need
Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 4.4 (p. 195)- Nonhomogeneous Eq's: The Method of Undetermined Coefficients For questions 1, 3, and 5, does the me
Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 4.3 (p. 186)- Auxiliary Equations with Complex Roots 5. Find a general solution to the DE a b The general solutio
Fundamentals of Differential Eqautions by Nagle, Saff, and Snider 7th edition) Section 4.2 (p. 176)- Homogeneous Linear Equations: the General Solution 5. Find a general solution to the DE a b is a ro
Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 3.2 (p. 104)- Compartmental Analysis 1. 0
.5 kg of salt
ab amt. of salt in tank; ab
input rate output rate
Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 2.5 (p. 71)- Special Integrating Factors 2. a b a b
ab Therefore there is an integrating factor depending
Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 2.4 (p. 65)- Exact Differential Equations 3. a b a b The DE is exact but it is not separable and not linear. 5. a
Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 2.3 (p. 54)- Linear Differential Equations 1. Is the DE separable, linear, neither, or both? DE is Linear. It is
Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 2.2 (p. 46)- Background 12.
^
a b
^
a b a b
15.
19.
ab
a b ab
24.
a b a b
34.
(The
Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 1.4 (p. 28)- The Approximation Method of Euler 1. a b yab Estimate at the pts where and using New old + slope at
Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition)
Section 1.3 (p. 22)- Direction Fields Draw the iscolines with their direction markers and sketch several solutions includ
Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 1.2 (p. 14)- Solutions and Initial Value Problems 1. b) ab a b a b c) ab defined on a b OE OE where where a b a b
Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 2.6 (p. 78)- Substitutions and Bernoulli's Equation 11. a b DE has homogeneous coef's Let a b a b
kk and 15.
L
Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 1.1 (p. 5)- Background 1. ODE, 2nd order, linear, is dep. var. and is indep. var.
3.
a b a b ODE, 1st order, non