 1.4.1E: In 1–4, use Euler’s method to approximate the solution to the given...
 1.4.1TWE: Select four fields (for example, astronomy, geology, biology, and e...
 1.4.2E: In 1–4, use Euler’s method to approximate the solution to the given...
 1.4.2TWE: Compare the different types of solutions discussed in this chapter—...
 1.4.3E: ?3E 1–4, use Euler’s method to approximate the solution to the give...
 1.4.4E: In 1–4, use Euler’s method to approximate the solution to the given...
 1.4.5E: Use Euler’s method with step size h = 0.1 to approximate the soluti...
 1.4.6E: ?6E Euler’s method with step size h = 0.2 to approximate the soluti...
 1.4.7E: Use Euler’s method to find approximations to the solution of the in...
 1.4.8E: Use Euler’s method to find approximations to the solution of the in...
 1.4.9E: Use Euler’s method with h = 0.1 to approximate the solution to the ...
 1.4.10E: Use the strategy of Example 3 to find a value of h for Euler’s meth...
 1.4.11E: Use the strategy of Example 3 to find a value of h for Euler’s meth...
 1.4.12E: In Example 2 we approximated the transcendental number e by using E...
 1.4.13E: Prove that the “rate of convergence” for Euler’s method in is compa...
 1.4.14E: ?14E Euler’s method with the spacings h = 0.5, 0.1, 0.05, 0.01 to a...
 1.4.15E: Newton’s Law of Cooling. Newton’s law of cooling states that the ra...
 1.4.16E: Stefan’s Law of Radiation. Stefan’s law of radiationstates that the...
Solutions for Chapter 1.4: Fundamentals of Differential Equations 8th Edition
Full solutions for Fundamentals of Differential Equations  8th Edition
ISBN: 9780321747730
Solutions for Chapter 1.4
Get Full SolutionsThis textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. Chapter 1.4 includes 18 full stepbystep solutions. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. This expansive textbook survival guide covers the following chapters and their solutions. Since 18 problems in chapter 1.4 have been answered, more than 56077 students have viewed full stepbystep solutions from this chapter.

Axis of symmetry
See Line of symmetry.

Complex fraction
See Compound fraction.

End behavior
The behavior of a graph of a function as.

Fibonacci numbers
The terms of the Fibonacci sequence.

General form (of a line)
Ax + By + C = 0, where A and B are not both zero.

Head minus tail (HMT) rule
An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2  x 1, y2  y19>

Increasing on an interval
A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

Leading term
See Polynomial function in x.

Mathematical induction
A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

Midpoint (in Cartesian space)
For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

Opposite
See Additive inverse of a real number and Additive inverse of a complex number.

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

Projection of u onto v
The vector projv u = au # vƒvƒb2v

Radicand
See Radical.

Secant line of ƒ
A line joining two points of the graph of ƒ.

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.

Sinusoidal regression
A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

Sum of an infinite geometric series
Sn = a 1  r , r 6 1

Translation
See Horizontal translation, Vertical translation.

Weights
See Weighted mean.