 6.2.1: In 1 and 2 without actually solving the given differential equation...
 6.2.2: In 1 and 2 without actually solving the given differential equation...
 6.2.3: In 36 find two power series solutions of the given differential equ...
 6.2.4: In 36 find two power series solutions of the given differential equ...
 6.2.5: In 36 find two power series solutions of the given differential equ...
 6.2.6: In 36 find two power series solutions of the given differential equ...
 6.2.7: In 718 find two power series solutions of the given differential eq...
 6.2.8: In 718 find two power series solutions of the given differential eq...
 6.2.9: In 718 find two power series solutions of the given differential eq...
 6.2.10: In 718 find two power series solutions of the given differential eq...
 6.2.11: In 718 find two power series solutions of the given differential eq...
 6.2.12: In 718 find two power series solutions of the given differential eq...
 6.2.13: In 718 find two power series solutions of the given differential eq...
 6.2.14: In 718 find two power series solutions of the given differential eq...
 6.2.15: In 718 find two power series solutions of the given differential eq...
 6.2.16: In 718 find two power series solutions of the given differential eq...
 6.2.17: In 718 find two power series solutions of the given differential eq...
 6.2.18: In 718 find two power series solutions of the given differential eq...
 6.2.19: In 1922 use the power series method to solve the given initialvalu...
 6.2.20: In 1922 use the power series method to solve the given initialvalu...
 6.2.21: In 1922 use the power series method to solve the given initialvalu...
 6.2.22: In 1922 use the power series method to solve the given initialvalu...
 6.2.23: In 23 and 24 use the procedure in Example 8 to find two power serie...
 6.2.24: In 23 and 24 use the procedure in Example 8 to find two power serie...
 6.2.25: Without actually solving the differential equation find the minimum...
 6.2.26: How can the power series method be used to solve the nonhomogeneous...
 6.2.27: Is x 0 an ordinary or a singular point of the differential equation...
 6.2.28: Is an ordinary point of the differential equation
 6.2.29: (a) Find two power series solutions for y xy y 0 and express the so...
 6.2.30: a) Find one more nonzero term for each of the solutions y1(x) and y...
Solutions for Chapter 6.2: SOLUTIONS ABOUT ORDINARY POINTS
Full solutions for A First Course in Differential Equations with Modeling Applications  10th Edition
ISBN: 9781111827052
Solutions for Chapter 6.2: SOLUTIONS ABOUT ORDINARY POINTS
Get Full SolutionsThis textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10. Since 30 problems in chapter 6.2: SOLUTIONS ABOUT ORDINARY POINTS have been answered, more than 46283 students have viewed full stepbystep solutions from this chapter. Chapter 6.2: SOLUTIONS ABOUT ORDINARY POINTS includes 30 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052.

Derivative of ƒ at x a
ƒ'(a) = lim x:a ƒ(x)  ƒ(a) x  a provided the limit exists

Double inequality
A statement that describes a bounded interval, such as 3 ? x < 5

Ellipse
The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

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.

Identity properties
a + 0 = a, a ? 1 = a

Inverse cosecant function
The function y = csc1 x

Law of cosines
a2 = b2 + c2  2bc cos A, b2 = a2 + c2  2ac cos B, c2 = a2 + b2  2ab cos C

Major axis
The line segment through the foci of an ellipse with endpoints on the ellipse

nset
A set of n objects.

Open interval
An interval that does not include its endpoints.

Ordered set
A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

Partial sums
See Sequence of partial sums.

Principle of mathematical induction
A principle related to mathematical induction.

Shrink of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal shrink) by the constant 1/c or all of the ycoordinates (vertical shrink) by the constant c, 0 < c < 1.

Solution of an equation or inequality
A value of the variable (or values of the variables) for which the equation or inequality is true

System
A set of equations or inequalities.

Tangent line of ƒ at x = a
The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

Upper bound for real zeros
A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.