 6.4.1E: In 1–6, use the method of variation of parameters to determine a pa...
 6.4.1RP: Determine the intervals for which Theorem 1 on page 318 guarantees ...
 6.4.2E: In 1–6, use the method of variation of parameters to determine a pa...
 6.4.2RP: Determine whether the given functions are linearly dependent or lin...
 6.4.3E: In 1–6, use the method of variation of parameters to determine a pa...
 6.4.3RP: Show that the set of functions { sin x, x sin x, x2 sin x, x3 sin x...
 6.4.4E: In 1–6, use the method of variation of parameters to determine a pa...
 6.4.4RP: 4. Find a general solution for the given differential equation.
 6.4.5E: In 1–6, use the method of variation of parameters to determine a pa...
 6.4.5RP: Find a general solution for the homogeneous linear differential equ...
 6.4.6E: In 1–6, use the method of variation of parameters to determine a pa...
 6.4.6RP: Given that yp = sin(x2) is a particular solution to on find a gener...
 6.4.7E: Find a general solution to the Cauchy–Euler equation given that {x,...
 6.4.7RP: Find a differential operator that annihilates the given function.
 6.4.8E: Find a general solution to the Cauchy–Euler equation given that {x,...
 6.4.8RP: Use the annihilator method to determine the form of a particular so...
 6.4.9E: Given that is a fundamental solution set for the homogeneous equati...
 6.4.9RP: 9. Find a general solution to the Cauchy–Euler equation given that ...
 6.4.10E: Given that {x, x1, x4} is a fundamental solution set for the homog...
 6.4.10RP: Find a general solution to the given Cauchy–Euler equation.
 6.4.11E: Find a general solution to the Cauchy–Euler equation
 6.4.12E: Derive the system (7) in the special case when n=3.[ Hint: To deter...
 6.4.13E: Show that
 6.4.14E: Deflection of a Beam Under Axial Force. A uniform beam under a load...
Solutions for Chapter 6.4: Fundamentals of Differential Equations 8th Edition
Full solutions for Fundamentals of Differential Equations  8th Edition
ISBN: 9780321747730
Solutions for Chapter 6.4
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. Chapter 6.4 includes 24 full stepbystep solutions. Since 24 problems in chapter 6.4 have been answered, more than 119258 students have viewed full stepbystep solutions from this chapter.

Angle of depression
The acute angle formed by the line of sight (downward) and the horizontal

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

Closed interval
An interval that includes its endpoints

Directed line segment
See Arrow.

Directrix of a parabola, ellipse, or hyperbola
A line used to determine the conic

Distributive property
a(b + c) = ab + ac and related properties

Inverse cosine function
The function y = cos1 x

Minor axis
The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

Natural logarithm
A logarithm with base e.

Parameter interval
See Parametric equations.

Polar coordinates
The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

Polar equation
An equation in r and ?.

Principle of mathematical induction
A principle related to mathematical induction.

Projectile motion
The movement of an object that is subject only to the force of gravity

Random behavior
Behavior that is determined only by the laws of probability.

Variation
See Power function.

Velocity
A vector that specifies the motion of an object in terms of its speed and direction.

Vertical component
See Component form of a vector.

yintercept
A point that lies on both the graph and the yaxis.

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