 7.1: (a) What is a differential equation? (b) What is the order of a dif...
 7.2: What can you say about the solutions of the equation just by lookin...
 7.3: What is a direction eld for the differential equation ?
 7.4: Explain how Eulers method works.
 7.5: What is a separable differential equation? How do you solve it?
 7.6: (a) Write a differential equation that expresses the law of natural...
 7.7: (a) Write the logistic equation. (b) Under what circumstances is th...
 7.8: (a) Write LotkaVolterra equations to model populations of food sh ...
 7.9: Find the orthogonal trajectories of the family of curves.
 7.10: Find the orthogonal trajectories of the family of curves.
 7.11: A bacteria culture contains 200 cells initially and grows at a rate...
 7.12: Cobalt60 has a halflife of 5.24 years. (a) Find the mass that rem...
 7.13: Let be the concentration of a drug in the bloodstream. As the body ...
 7.14: A cup of hot chocolate has temperature in a room kept at . After ha...
 7.15: (a) Write the solution of the initialvalue problemand use it to nd...
 7.16: (a) The population of the world was 5.28 billion in 1990 and 6.07 b...
 7.17: The von Bertalanffy growth model is used to predict the length of a...
 7.18: The BrentanoStevens Law in psychology models the way that a subjec...
 7.19: One model for the spread of an epidemic is that the rate of spread ...
 7.20: A tank contains 100 L of pure water. Brine that contains 0.1 kg of ...
 7.21: The transport of a substance across a capillary wall in lung physio...
 7.22: Populations of birds and insects are modeled by the equationsdx dt ...
 7.23: Suppose the model of Exercise 22 is replaced by the equationsdx dt ...
 7.24: Barbara weighs 60 kg and is on a diet of 1600 calories per day, of ...
Solutions for Chapter 7: DIFFERENTIAL EQUATIONS
Full solutions for Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series)  4th Edition
ISBN: 9780495559726
Solutions for Chapter 7: DIFFERENTIAL EQUATIONS
Get Full SolutionsChapter 7: DIFFERENTIAL EQUATIONS includes 24 full stepbystep solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series), edition: 4. This expansive textbook survival guide covers the following chapters and their solutions. Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) was written by and is associated to the ISBN: 9780495559726. Since 24 problems in chapter 7: DIFFERENTIAL EQUATIONS have been answered, more than 19997 students have viewed full stepbystep solutions from this chapter.

Additive inverse of a real number
The opposite of b , or b

Amplitude
See Sinusoid.

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>

Equal matrices
Matrices that have the same order and equal corresponding elements.

Exponent
See nth power of a.

Factor
In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

Finite sequence
A function whose domain is the first n positive integers for some fixed integer n.

Halfangle identity
Identity involving a trigonometric function of u/2.

Infinite discontinuity at x = a
limx:a + x a ƒ(x) = q6 or limx:a  ƒ(x) = q.

Linear factorization theorem
A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1  z1) 1x  i z 22 Á 1x  z n where the z1 are the zeros of ƒ

Linear regression equation
Equation of a linear regression line

Nonsingular matrix
A square matrix with nonzero determinant

Odd function
A function whose graph is symmetric about the origin (ƒ(x) = ƒ(x) for all x in the domain of f).

Quadratic formula
The formula x = b 2b2  4ac2a used to solve ax 2 + bx + c = 0.

Root of a number
See Principal nth root.

Semimajor axis
The distance from the center to a vertex of an ellipse.

Standard form of a complex number
a + bi, where a and b are real numbers

Transverse axis
The line segment whose endpoints are the vertices of a hyperbola.

Ymax
The yvalue of the top of the viewing window.

Ymin
The yvalue of the bottom of the viewing window.