 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 11083 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.

Convergence of a series
A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

Determinant
A number that is associated with a square matrix

Expanded form of a series
A series written explicitly as a sum of terms (not in summation notation).

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

Halfplane
The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

Initial side of an angle
See Angle.

Irreducible quadratic over the reals
A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

Main diagonal
The diagonal from the top left to the bottom right of a square matrix

Modulus
See Absolute value of a complex number.

Polynomial in x
An expression that can be written in the form an x n + an1x n1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

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

Proportional
See Power function

Real part of a complex number
See Complex number.

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

RRAM
A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the righthand end point of each subinterval.

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

Slopeintercept form (of a line)
y = mx + b

Synthetic division
A procedure used to divide a polynomial by a linear factor, x  a

System
A set of equations or inequalities.

Upper bound for ƒ
Any number B for which ƒ(x) ? B for all x in the domain of ƒ.
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