 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 23112 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 and is associated to the ISBN: 9781118174920. Chapter 9.2: SOLUTIONS OF DIFFERENTIAL EQUATIONS includes 22 full stepbystep solutions.

Arctangent function
See Inverse tangent function.

Base
See Exponential function, Logarithmic function, nth power of a.

Basic logistic function
The function ƒ(x) = 1 / 1 + ex

Continuous at x = a
lim x:a x a ƒ(x) = ƒ(a)

Divergence
A sequence or series diverges if it does not converge

Equilibrium price
See Equilibrium point.

Grapher or graphing utility
Graphing calculator or a computer with graphing software.

Limaçon
A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

Multiplication property of inequality
If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

Oddeven identity
For a basic trigonometric function f, an identity relating f(x) to f(x).

Periodic function
A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

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

Quadratic regression
A procedure for fitting a quadratic function to a set of data.

Rational expression
An expression that can be written as a ratio of two polynomials.

Reflection through the origin
x, y and (x,y) are reflections of each other through the origin.

Relevant domain
The portion of the domain applicable to the situation being modeled.

Sum identity
An identity involving a trigonometric function of u + v

Supply curve
p = ƒ(x), where x represents production and p represents price

Vertex of an angle
See Angle.

Zero vector
The vector <0,0> or <0,0,0>.