 D1.3.1: What is a separable firstorder differential equation?
 D1.3.2: Is the equation t2y_1t2 = t + 4 y2 separable?
 D1.3.3: Is the equation y_1t2 = 2y  t separable?
 D1.3.4: Explain how to solve a separable differential equation of the form ...
 D1.3.5: 516. Solving separable equations Find the general solution of the f...
 D1.3.6: 516. Solving separable equations Find the general solution of the f...
 D1.3.7: 516. Solving separable equations Find the general solution of the f...
 D1.3.8: 516. Solving separable equations Find the general solution of the f...
 D1.3.9: 516. Solving separable equations Find the general solution of the f...
 D1.3.10: 516. Solving separable equations Find the general solution of the f...
 D1.3.11: 516. Solving separable equations Find the general solution of the f...
 D1.3.12: 516. Solving separable equations Find the general solution of the f...
 D1.3.13: 516. Solving separable equations Find the general solution of the f...
 D1.3.14: 516. Solving separable equations Find the general solution of the f...
 D1.3.15: 516. Solving separable equations Find the general solution of the f...
 D1.3.16: 516. Solving separable equations Find the general solution of the f...
 D1.3.17: 1726. Solving initial value problems Determine whether the followin...
 D1.3.18: 1726. Solving initial value problems Determine whether the followin...
 D1.3.19: 1726. Solving initial value problems Determine whether the followin...
 D1.3.20: 1726. Solving initial value problems Determine whether the followin...
 D1.3.21: 1726. Solving initial value problems Determine whether the followin...
 D1.3.22: 1726. Solving initial value problems Determine whether the followin...
 D1.3.23: 1726. Solving initial value problems Determine whether the followin...
 D1.3.24: 1726. Solving initial value problems Determine whether the followin...
 D1.3.25: 1726. Solving initial value problems Determine whether the followin...
 D1.3.26: 1726. Solving initial value problems Determine whether the followin...
 D1.3.27: 2732. Solutions in implicit form Solve the following initial value ...
 D1.3.28: 2732. Solutions in implicit form Solve the following initial value ...
 D1.3.29: 2732. Solutions in implicit form Solve the following initial value ...
 D1.3.30: 2732. Solutions in implicit form Solve the following initial value ...
 D1.3.31: 2732. Solutions in implicit form Solve the following initial value ...
 D1.3.32: 2732. Solutions in implicit form Solve the following initial value ...
 D1.3.33: Logistic equation for a population A community of hares on an islan...
 D1.3.34: Logistic equation for an epidemic When an infected person is introd...
 D1.3.35: Explain why or why not Determine whether the following statements a...
 D1.3.36: 3639. Solutions of separable equations Solve the following initial ...
 D1.3.37: 3639. Solutions of separable equations Solve the following initial ...
 D1.3.38: 3639. Solutions of separable equations Solve the following initial ...
 D1.3.39: 3639. Solutions of separable equations Solve the following initial ...
 D1.3.40: 4041. Implicit solutions for separable equations For the following ...
 D1.3.41: 4041. Implicit solutions for separable equations For the following ...
 D1.3.42: Orthogonal trajectories Two curves are orthogonal to each other if ...
 D1.3.43: Orthogonal trajectories Use the method in Exercise 42 to find the o...
 D1.3.44: Logistic equation for spread of rumors Sociologists model the sprea...
 D1.3.45: Free fall An object in free fall may be modeled by assuming that th...
 D1.3.46: Free fall Using the background given in Exercise 45, assume the res...
 D1.3.47: Torricellis law An open cylindrical tank initially filled with wate...
 D1.3.48: Chemical rate equations Let y1t2 be the concentration of a substanc...
 D1.3.49: Tumor growth The Gompertz growth equation is often used to model th...
 D1.3.50: Technology for an initial value problem Solve y_1t2 = yet cos3 4t, ...
 D1.3.51: Blowup in finite time Consider the initial value problem y_1t2 = yn...
 D1.3.52: Analysis of a separable equation Consider the differential equation...
 D1.3.53: Analysis of a separable equation Consider the differential equation...
Solutions for Chapter D1.3: Calculus: Early Transcendentals 2nd Edition
Full solutions for Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321947345
Solutions for Chapter D1.3
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Since 53 problems in chapter D1.3 have been answered, more than 54295 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 2. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345. Chapter D1.3 includes 53 full stepbystep solutions.

Addition property of equality
If u = v and w = z , then u + w = v + z

Bounded interval
An interval that has finite length (does not extend to ? or ?)

Cosine
The function y = cos x

Distance (in a coordinate plane)
The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1  x 2)2 + (y1  y2)2

equation of a quadratic function
ƒ(x) = ax 2 + bx + c(a ? 0)

First octant
The points (x, y, z) in space with x > 0 y > 0, and z > 0.

Focal width of a parabola
The length of the chord through the focus and perpendicular to the axis.

Graph of a relation
The set of all points in the coordinate plane corresponding to the ordered pairs of the relation.

Logistic growth function
A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + aekx, where a, b, c, and k are positive with b < 1. c is the limit to growth

Lower bound test for real zeros
A test for finding a lower bound for the real zeros of a polynomial

Objective function
See Linear programming problem.

Polynomial function
A function in which ƒ(x)is a polynomial in x, p. 158.

Position vector of the point (a, b)
The vector <a,b>.

Principle of mathematical induction
A principle related to mathematical induction.

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

Root of a number
See Principal nth root.

Sample space
Set of all possible outcomes of an experiment.

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

Vertical asymptote
The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a ƒ1x2 = q.

Ymin
The yvalue of the bottom of the viewing window.