 9.2.1: Decide whether or not each of the following is a solution to the di...
 9.2.2: Check that y = t4 is a solution to the differential equation t dy d...
 9.2.3: Find the general solution to the differential equation dy dt = 2t.
 9.2.4: In 412, use the fact that the derivative gives the slope of a curve...
 9.2.5: In 412, use the fact that the derivative gives the slope of a curve...
 9.2.6: In 412, use the fact that the derivative gives the slope of a curve...
 9.2.7: In 412, use the fact that the derivative gives the slope of a curve...
 9.2.8: In 412, use the fact that the derivative gives the slope of a curve...
 9.2.9: In 412, use the fact that the derivative gives the slope of a curve...
 9.2.10: In 412, use the fact that the derivative gives the slope of a curve...
 9.2.11: In 412, use the fact that the derivative gives the slope of a curve...
 9.2.12: In 412, use the fact that the derivative gives the slope of a curve...
 9.2.13: Fill in the missing values in Table 9.2 given that dy/dt = 4 y. Ass...
 9.2.14: Fill in the missing values in Table 9.3 given that dy/dt = 0.5t. As...
 9.2.15: Fill in the missing values in Table 9.4 given that dy/dt = 0.5y. As...
 9.2.16: For a certain quantity y, assume that dy/dt = y. Fill in the value ...
 9.2.17: If the initial population of fish is 70 million, use the differenti...
 9.2.18: Show that, for any constant P0, the function P = P0et satisfies the...
 9.2.19: Suppose Q = Cekt satisfies the differential equation dQ dt = 0.03Q....
 9.2.20: Is there a value of n which makes y = xn a solution to the equation...
 9.2.21: Find the values of k for which y = x2 + k is a solution to the diff...
 9.2.22: Match solutions and differential equations. (Note: Each equation ma...
Solutions for Chapter 9.2: SOLUTIONS OF DIFFERENTIAL EQUATIONS
Full solutions for Applied Calculus  5th Edition
ISBN: 9781118174920
Solutions for Chapter 9.2: SOLUTIONS OF DIFFERENTIAL EQUATIONS
Get Full SolutionsSince 22 problems in chapter 9.2: SOLUTIONS OF DIFFERENTIAL EQUATIONS have been answered, more than 7888 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: Applied Calculus, edition: 5. Applied Calculus was written by Patricia and is associated to the ISBN: 9781118174920. Chapter 9.2: SOLUTIONS OF DIFFERENTIAL EQUATIONS includes 22 full stepbystep solutions.

Additive inverse of a complex number
The opposite of a + bi, or a  bi

Angle of elevation
The acute angle formed by the line of sight (upward) and the horizontal

Arithmetic sequence
A sequence {an} in which an = an1 + d for every integer n ? 2 . The number d is the common difference.

Components of a vector
See Component form of a vector.

Compounded monthly
See Compounded k times per year.

Expanded form
The right side of u(v + w) = uv + uw.

Instantaneous rate of change
See Derivative at x = a.

Integrable over [a, b] Lba
ƒ1x2 dx exists.

Irrational zeros
Zeros of a function that are irrational numbers.

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

Mode of a data set
The category or number that occurs most frequently in the set.

nth root of a complex number z
A complex number v such that vn = z

Parametric equations for a line in space
The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

Polynomial interpolation
The process of fitting a polynomial of degree n to (n + 1) points.

Probability function
A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

Product of complex numbers
(a + bi)(c + di) = (ac  bd) + (ad + bc)i

Product of functions
(ƒg)(x) = ƒ(x)g(x)

Range (in statistics)
The difference between the greatest and least values in a data set.

Sample standard deviation
The standard deviation computed using only a sample of the entire population.

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