 8.2.1: In 112 find the general solution of the given system.
 8.2.2: In 112 find the general solution of the given system.
 8.2.3: In 112 find the general solution of the given system.
 8.2.4: In 112 find the general solution of the given system.
 8.2.5: In 112 find the general solution of the given system.
 8.2.6: In 112 find the general solution of the given system.
 8.2.7: In 112 find the general solution of the given system.
 8.2.8: In 112 find the general solution of the given system.
 8.2.9: In 112 find the general solution of the given system.
 8.2.10: In 112 find the general solution of the given system.
 8.2.11: In 112 find the general solution of the given system.
 8.2.12: In 112 find the general solution of the given system.
 8.2.13: In 13 and 14 solve the given initialvalue problem.
 8.2.14: In 13 and 14 solve the given initialvalue problem.
 8.2.15: In 15 and 16 use a CAS or linear algebra software as an aid in find...
 8.2.16: In 15 and 16 use a CAS or linear algebra software as an aid in find...
 8.2.17: (a) Use computer software to obtain the phase portrait of the syste...
 8.2.18: Find phase portraits for the systems in 2 and 4. For each system fi...
 8.2.19: In 1928 find the general solution of the given system.
 8.2.20: In 1928 find the general solution of the given system.
 8.2.21: In 1928 find the general solution of the given system.
 8.2.22: In 1928 find the general solution of the given system.
 8.2.23: In 1928 find the general solution of the given system.
 8.2.24: In 1928 find the general solution of the given system.
 8.2.25: In 1928 find the general solution of the given system.
 8.2.26: In 1928 find the general solution of the given system.
 8.2.27: In 1928 find the general solution of the given system.
 8.2.28: In 1928 find the general solution of the given system.
 8.2.29: In 29 and 30 solve the given initialvalue problem.
 8.2.30: In 29 and 30 solve the given initialvalue problem.
 8.2.31: Show that the 5 5 matrix has an eigenvalue l1 of multiplicity 5. Sh...
 8.2.32: Find phase portraits for the systems in 20 and 21. For each system ...
 8.2.33: In 3344 find the general solution of the given system.
 8.2.34: In 3344 find the general solution of the given system.
 8.2.35: In 3344 find the general solution of the given system.
 8.2.36: In 3344 find the general solution of the given system.
 8.2.37: In 3344 find the general solution of the given system.
 8.2.38: In 3344 find the general solution of the given system.
 8.2.39: In 3344 find the general solution of the given system.
 8.2.40: In 3344 find the general solution of the given system.
 8.2.41: In 3344 find the general solution of the given system.
 8.2.42: In 3344 find the general solution of the given system.
 8.2.43: In 3344 find the general solution of the given system.
 8.2.44: In 3344 find the general solution of the given system.
 8.2.45: In 45 and 46 solve the given initialvalue problem.
 8.2.46: In 45 and 46 solve the given initialvalue problem.
 8.2.47: Find phase portraits for the systems in 36, 37, and 38.
 8.2.48: (a) Solve (2) of Section 7.6 using the first method outlined in the...
 8.2.49: Solve each of the following linear systems. (a) (b) Find a phase po...
 8.2.50: Consider the 5 5 matrix given in 31. Solve the system X AX without ...
 8.2.51: Obtain a Cartesian equation of the curve defined parametrically by ...
 8.2.52: Examine your phase portraits in 47. Under what conditions will the ...
Solutions for Chapter 8.2: Homogeneous Linear Systems
Full solutions for Differential Equations with BoundaryValue Problems  7th Edition
ISBN: 9780495108368
Solutions for Chapter 8.2: Homogeneous Linear Systems
Get Full SolutionsChapter 8.2: Homogeneous Linear Systems includes 52 full stepbystep solutions. Differential Equations with BoundaryValue Problems was written by and is associated to the ISBN: 9780495108368. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Differential Equations with BoundaryValue Problems, edition: 7. Since 52 problems in chapter 8.2: Homogeneous Linear Systems have been answered, more than 15907 students have viewed full stepbystep solutions from this chapter.

Arrow
The notation PQ denoting the directed line segment with initial point P and terminal point Q.

Bounded interval
An interval that has finite length (does not extend to ? or ?)

Boxplot (or boxandwhisker plot)
A graph that displays a fivenumber summary

Characteristic polynomial of a square matrix A
det(xIn  A), where A is an n x n matrix

Combination
An arrangement of elements of a set, in which order is not important

Combinatorics
A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

Compounded monthly
See Compounded k times per year.

Cube root
nth root, where n = 3 (see Principal nth root),

Direction angle of a vector
The angle that the vector makes with the positive xaxis

Distance (in a coordinate plane)
The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1  x 2)2 + (y1  y2)2

Equilibrium point
A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

Exponential form
An equation written with exponents instead of logarithms.

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

Length of an arrow
See Magnitude of an arrow.

Limit at infinity
limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x: q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

Rational zeros
Zeros of a function that are rational numbers.

Relation
A set of ordered pairs of real numbers.

Root of a number
See Principal nth root.

Slant asymptote
An end behavior asymptote that is a slant line

Solve a system
To find all solutions of a system.