 6.1: Determine whether the function is a solution of the differential eq...
 6.2: Determine whether the function is a solution of the differential eq...
 6.3: In Exercises 38, use integration to find a general solution of the ...
 6.4: In Exercises 38, use integration to find a general solution of the ...
 6.5: In Exercises 38, use integration to find a general solution of the ...
 6.6: In Exercises 38, use integration to find a general solution of the ...
 6.7: In Exercises 38, use integration to find a general solution of the ...
 6.8: In Exercises 38, use integration to find a general solution of the ...
 6.9: In Exercises 9 and 10, a differential equation and its slope field ...
 6.10: In Exercises 9 and 10, a differential equation and its slope field ...
 6.11: In Exercises 11 and 12, (a) sketch the slope field for the differen...
 6.12: In Exercises 11 and 12, (a) sketch the slope field for the differen...
 6.13: In Exercises 13 and 14, use Eulers Method to make a table of values...
 6.14: In Exercises 13 and 14, use Eulers Method to make a table of values...
 6.15: In Exercises 1520, solve the differential equation.
 6.16: In Exercises 1520, solve the differential equation.
 6.17: In Exercises 1520, solve the differential equation.
 6.18: In Exercises 1520, solve the differential equation.
 6.19: In Exercises 1520, solve the differential equation.
 6.20: In Exercises 1520, solve the differential equation.
 6.21: In Exercises 21 and 22, write and solve the differential equation t...
 6.22: In Exercises 21 and 22, write and solve the differential equation t...
 6.23: In Exercises 2326, find the exponential function that passes throug...
 6.24: In Exercises 2326, find the exponential function that passes throug...
 6.25: In Exercises 2326, find the exponential function that passes throug...
 6.26: In Exercises 2326, find the exponential function that passes throug...
 6.27: Under ideal conditions, air pressure decreases continuously with th...
 6.28: Radioactive radium has a halflife of approximately 1599 years. The...
 6.29: A population grows continuously at a rate of 1.85%. How long will i...
 6.30: Find the balance in an account when $1000 is deposited for 8 years ...
 6.31: The sales (in thousands of units) of a new product after it has bee...
 6.32: The sales (in thousands of units) of a new product after it has bee...
 6.33: In Exercises 3336, find the general solution of the differential eq...
 6.34: In Exercises 3336, find the general solution of the differential eq...
 6.35: In Exercises 3336, find the general solution of the differential eq...
 6.36: In Exercises 3336, find the general solution of the differential eq...
 6.37: In Exercises 37 40, find the particular solution that satisfies the...
 6.38: In Exercises 37 40, find the particular solution that satisfies the...
 6.39: In Exercises 37 40, find the particular solution that satisfies the...
 6.40: In Exercises 37 40, find the particular solution that satisfies the...
 6.41: In Exercises 41 and 42, sketch a few solutions of the differential ...
 6.42: In Exercises 41 and 42, sketch a few solutions of the differential ...
 6.43: In Exercises 43 and 44, the logistic equation models the growth of ...
 6.44: In Exercises 43 and 44, the logistic equation models the growth of ...
 6.45: In Exercises 45 and 46, find the logistic equation that passes thro...
 6.46: In Exercises 45 and 46, find the logistic equation that passes thro...
 6.47: A conservation department releases 1200 brook trout into a lake. It...
 6.48: Write a logistic differential equation that models the growth rate ...
 6.49: The rate of change in sales (in thousands of units) of a new produc...
 6.50: Use the result of Exercise 49 to write as a function of for (a) whe...
 6.51: In Exercises 51 and 52, assume that the rate of change in the propo...
 6.52: In Exercises 51 and 52, assume that the rate of change in the propo...
 6.53: In Exercises 5356, (a) sketch an approximate solution of the differ...
 6.54: In Exercises 5356, (a) sketch an approximate solution of the differ...
 6.55: In Exercises 5356, (a) sketch an approximate solution of the differ...
 6.56: In Exercises 5356, (a) sketch an approximate solution of the differ...
 6.57: In Exercises 5764, solve the firstorder linear differential equation.
 6.58: In Exercises 5764, solve the firstorder linear differential equation.
 6.59: In Exercises 5764, solve the firstorder linear differential equation.
 6.60: In Exercises 5764, solve the firstorder linear differential equation.
 6.61: In Exercises 5764, solve the firstorder linear differential equation.
 6.62: In Exercises 5764, solve the firstorder linear differential equation.
 6.63: In Exercises 5764, solve the firstorder linear differential equation.
 6.64: In Exercises 5764, solve the firstorder linear differential equation.
 6.65: In Exercises 65 and 66, find the particular solution of the differe...
 6.66: In Exercises 65 and 66, find the particular solution of the differe...
 6.67: In Exercises 67 69, write an example of the given differential equa...
 6.68: In Exercises 67 69, write an example of the given differential equa...
 6.69: In Exercises 67 69, write an example of the given differential equa...
 6.70: Let be the amount in a fund earning interest at an annual rate comp...
 6.71: A retired couple plans to withdraw dollars per year from a retireme...
 6.72: Use the result of Exercise 70 to find the time necessary to deplete...
 6.73: In Exercises 73 and 74, (a) use the given values to write a set of ...
 6.74: In Exercises 73 and 74, (a) use the given values to write a set of ...
 6.75: In Exercises 75 and 76, (a) use the given values to write a set of ...
 6.76: In Exercises 75 and 76, (a) use the given values to write a set of ...
Solutions for Chapter 6: Differential Equations
Full solutions for Calculus: Early Transcendental Functions  6th Edition
ISBN: 9781285774770
Solutions for Chapter 6: Differential Equations
Get Full SolutionsSince 76 problems in chapter 6: Differential Equations have been answered, more than 45289 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Chapter 6: Differential Equations includes 76 full stepbystep solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770.

Arccosecant function
See Inverse cosecant function.

Combinations of n objects taken r at a time
There are nCr = n! r!1n  r2! such combinations,

Explanatory variable
A variable that affects a response variable.

Finite series
Sum of a finite number of terms.

Fitting a line or curve to data
Finding a line or curve that comes close to passing through all the points in a scatter plot.

Fivenumber summary
The minimum, first quartile, median, third quartile, and maximum of a data set.

General form (of a line)
Ax + By + C = 0, where A and B are not both zero.

Graph of an equation in x and y
The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

Graph of an inequality in x and y
The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

Horizontal asymptote
The line is a horizontal asymptote of the graph of a function ƒ if lim x: q ƒ(x) = or lim x: q ƒ(x) = b

Inverse composition rule
The composition of a onetoone function with its inverse results in the identity function.

Logarithm
An expression of the form logb x (see Logarithmic function)

Multiplicity
The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x  c) (x  z 2) Á (x  z n)

Negative linear correlation
See Linear correlation.

Pie chart
See Circle graph.

Projection of u onto v
The vector projv u = au # vƒvƒb2v

Stem
The initial digit or digits of a number in a stemplot.

Sum of a finite arithmetic series
Sn = na a1 + a2 2 b = n 2 32a1 + 1n  12d4,

Summation notation
The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

Variation
See Power function.