 3.2.1: The number N(t) of supermarkets throughout the country that are usi...
 3.2.2: The number N(t) of people in a community who are exposed to a parti...
 3.2.3: A model for the population P(t) in a suburb of a large city is give...
 3.2.4: (a) Census data for the United States between 1790 and 1950 are giv...
 3.2.5: (a) If a constant number h of fish are harvested from a fishery per...
 3.2.6: Investigate the harvesting model in both qualitatively and analytic...
 3.2.7: Repeat in the case a 5, b 1, h 7.
 3.2.8: (a) Suppose a b 1 in the Gompertz differential equation (7). Since ...
 3.2.9: Two chemicals A and B are combined to form a chemical C. The rate, ...
 3.2.10: Solve if 100 grams of chemical A is present initially. At what time...
 3.2.11: Leaking Cylindrical Tank A tank in the form of a rightcircular cyl...
 3.2.12: Leaking Cylindrical TankContinued When friction and contraction of ...
 3.2.13: Leaking Conical Tank A tank in the form of a rightcircular cone sta...
 3.2.14: Inverted Conical Tank Suppose that the conical tank in 13(a) is inv...
 3.2.15: Air Resistance A differential equation for the velocity v of a fall...
 3.2.16: How High?Nonlinear Air Resistance Consider the 16pound cannonball ...
 3.2.17: That Sinking Feeling (a) Determine a differential equation for the ...
 3.2.18: Solar Collector The differential equation describes the shape of a ...
 3.2.19: Tsunami (a) A simple model for the shape of a tsunami, or tidal wav...
 3.2.20: Evaporation An outdoor decorative pond in the shape of a hemispheri...
 3.2.21: Regression Line Read the documentation for your CAS on scatter plot...
 3.2.22: Immigration Model (a) In Examples 3 and 4 of Section 2.1 we saw tha...
 3.2.23: What Goes Up... In let ta be the time it takes the cannonball to at...
 3.2.24: Skydiving A skydiver is equipped with a stopwatch and an altimeter....
 3.2.25: Hitting Bottom A helicopter hovers 500 feet above a large open tank...
 3.2.26: Old Man River... In Figure 3.2.8(a) suppose that the yaxis and the...
 3.2.27: (a) Solve the DE in subject to y(1) 0. For convenience let (b) Dete...
 3.2.28: Old Man River Keeps Moving... Suppose the man in again enters the c...
 3.2.29: The current speed vr of a straight river such as that in is usually...
 3.2.30: Raindrops Keep Falling... When a bottle of liquid refreshment was o...
 3.2.31: Time Drips By The clepsydra, or water clock, was a device that the ...
 3.2.32: (a) Suppose that a glass tank has the shape of a cone with circular...
 3.2.33: Suppose that r f(h) defines the shape of a water clock for which th...
 3.2.34: A Logistic Model of Sunflower Growth This problem involves planting...
 3.2.35: Torricellis Law If we punch a hole in a bucket full of water, the f...
Solutions for Chapter 3.2: Nonlinear Models
Full solutions for Differential Equations with BoundaryValue Problems  7th Edition
ISBN: 9780495108368
Solutions for Chapter 3.2: Nonlinear Models
Get Full SolutionsSince 35 problems in chapter 3.2: Nonlinear Models have been answered, more than 8284 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Differential Equations with BoundaryValue Problems, edition: 7. Differential Equations with BoundaryValue Problems was written by and is associated to the ISBN: 9780495108368. Chapter 3.2: Nonlinear Models includes 35 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Bounded
A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

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

equation of a hyperbola
(x  h)2 a2  (y  k)2 b2 = 1 or (y  k)2 a2  (x  h)2 b2 = 1

Equilibrium price
See Equilibrium point.

Equivalent equations (inequalities)
Equations (inequalities) that have the same solutions.

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

Heron’s formula
The area of ¢ABC with semiperimeter s is given by 2s1s  a21s  b21s  c2.

Instantaneous rate of change
See Derivative at x = a.

nth root of unity
A complex number v such that vn = 1

Number line graph of a linear inequality
The graph of the solutions of a linear inequality (in x) on a number line

Obtuse triangle
A triangle in which one angle is greater than 90°.

Pointslope form (of a line)
y  y1 = m1x  x 12.

Product rule of logarithms
ogb 1RS2 = logb R + logb S, R > 0, S > 0,

Quotient of functions
a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

Quotient polynomial
See Division algorithm for polynomials.

Rational function
Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

Real number line
A horizontal line that represents the set of real numbers.

Row echelon form
A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

Subtraction
a  b = a + (b)

Vertex of an angle
See Angle.