 11.1: Which of the differential equations are satisfied by thefunctions o...
 11.2: Match the slope fields in Figure 11.96 with their differentialequat...
 11.3: The graphs in Figure 11.97 represent the temperature,H(C), of four ...
 11.4: Find a general solution to the differential equations in Exercises ...
 11.5: Find a general solution to the differential equations in Exercises ...
 11.6: Find a general solution to the differential equations in Exercises ...
 11.7: Find a general solution to the differential equations in Exercises ...
 11.8: Find a general solution to the differential equations in Exercises ...
 11.9: Find a general solution to the differential equations in Exercises ...
 11.10: For the differential equations in Exercises 1025, find a solutionwh...
 11.11: For the differential equations in Exercises 1025, find a solutionwh...
 11.12: For the differential equations in Exercises 1025, find a solutionwh...
 11.13: For the differential equations in Exercises 1025, find a solutionwh...
 11.14: For the differential equations in Exercises 1025, find a solutionwh...
 11.15: For the differential equations in Exercises 1025, find a solutionwh...
 11.16: For the differential equations in Exercises 1025, find a solutionwh...
 11.17: For the differential equations in Exercises 1025, find a solutionwh...
 11.18: For the differential equations in Exercises 1025, find a solutionwh...
 11.19: For the differential equations in Exercises 1025, find a solutionwh...
 11.20: For the differential equations in Exercises 1025, find a solutionwh...
 11.21: For the differential equations in Exercises 1025, find a solutionwh...
 11.22: For the differential equations in Exercises 1025, find a solutionwh...
 11.23: For the differential equations in Exercises 1025, find a solutionwh...
 11.24: For the differential equations in Exercises 1025, find a solutionwh...
 11.25: For the differential equations in Exercises 1025, find a solutionwh...
 11.26: A population satisfies dP/dt = 0.025P 0.00005P2.(a) What are the eq...
 11.27: (a) What are the equilibrium solutions for the differentialequation...
 11.28: In 2829, is the function a solution toy = xy y,given that y = f(x) ...
 11.29: In 2829, is the function a solution toy = xy y,given that y = f(x) ...
 11.30: Find y when x = 1/2 on the solution passing through(0, 0) of the di...
 11.31: Consider the initial value problemy = 5 y, y(0) = 1.(a) Use Eulers ...
 11.32: In 2007, the population of Switzerland was 7.5 millionand was growi...
 11.33: The amount of land in use for growing crops increasesas the worlds ...
 11.34: The rate of growth of a tumor is proportional to the sizeof the tum...
 11.35: Money in a bank account grows continuously at an annualrate of r (w...
 11.36: Radioactive carbon (carbon14) decays at a rate of approximately1 p...
 11.37: Suppose $1000 is put into a bank account and earns interestcontinuo...
 11.38: A cell contains a chemical (the solute) dissolved in it ata concent...
 11.39: A bank account earns 5% annual interest compoundedcontinuously. Con...
 11.40: In some chemical reactions, the rate at which the amountof a substa...
 11.41: When the electromotive force (emf) is removed from acircuit contain...
 11.42: A mothball is in the shape of a sphere and starts with radius1 cm. ...
 11.43: Let P be the number of animals in a colony at time t. Thegrowth of ...
 11.44: Table 11.11 gives the percentage, P, of households witha DVD player...
 11.45: A chemical reaction involves one molecule of a substanceA combining...
 11.46: If the initial quantities, a and b, in are thesame, write and solve...
 11.47: The differential equations in 4749 describe therates of growth of t...
 11.48: The differential equations in 4749 describe therates of growth of t...
 11.49: The differential equations in 4749 describe therates of growth of t...
 11.50: A shrimp population P in a bay grows according to thelogistic equat...
 11.51: The concentrations of two chemicals A and B as functionsof time are...
 11.52: We apply Lanchesters model to the Battle of Trafalgar(1805), when a...
 11.53: The following equations describe the rates of growth ofan insect an...
 11.54: When two countries are in an arms race, the rate at whicheach one s...
 11.55: In 5557, a population P(t) of animals satisfiesdPdt = kP 1 PL 1 P2L...
 11.56: In 5557, a population P(t) of animals satisfiesdPdt = kP 1 PL 1 P2L...
 11.57: In 5557, a population P(t) of animals satisfiesdPdt = kP 1 PL 1 P2L...
 11.58: Consider the differential equationdPdt = P(P 1)(2 P).(a) Find all t...
 11.59: In this problem we investigate Picards method for approximatingthe ...
 11.60: Figure 11.98 shows the slope field for the differentialequation36dy...
Solutions for Chapter 11: DIFFERENTIAL EQUATIONS
Full solutions for Calculus: Single and Multivariable  6th Edition
ISBN: 9780470888612
Solutions for Chapter 11: DIFFERENTIAL EQUATIONS
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. Chapter 11: DIFFERENTIAL EQUATIONS includes 60 full stepbystep solutions. Since 60 problems in chapter 11: DIFFERENTIAL EQUATIONS have been answered, more than 42442 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Complex fraction
See Compound fraction.

Difference of two vectors
<u1, u2>  <v1, v2> = <u1  v1, u2  v2> or <u1, u2, u3>  <v1, v2, v3> = <u1  v1, u2  v2, u3  v3>

Directed line segment
See Arrow.

Direction angle of a vector
The angle that the vector makes with the positive xaxis

Directrix of a parabola, ellipse, or hyperbola
A line used to determine the conic

Graph of a polar equation
The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

Interquartile range
The difference between the third quartile and the first quartile.

Linear correlation
A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

n factorial
For any positive integer n, n factorial is n! = n.(n  1) . (n  2) .... .3.2.1; zero factorial is 0! = 1

Objective function
See Linear programming problem.

Opens upward or downward
A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

Ordinary annuity
An annuity in which deposits are made at the same time interest is posted.

Phase shift
See Sinusoid.

Polar equation
An equation in r and ?.

Reciprocal function
The function ƒ(x) = 1x

Reciprocal of a real number
See Multiplicative inverse of a real number.

Relevant domain
The portion of the domain applicable to the situation being modeled.

Response variable
A variable that is affected by an explanatory variable.

Terminal point
See Arrow.

Vertical component
See Component form of a vector.