EBK MATHEMATICS FOR MACHINE TECHNOLOGY
7th Edition
ISBN: 9780100548169
Author: SMITH
Publisher: YUZU
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Chapter 56, Problem 12AR
Given:
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Please help
Solve the initial value problem:
y' =
x3
+ y³
3
,
y(1) = 2
xy²
y(x) =
Hint: Notice that the equation on the right is
homogeneous and see Homework exercise 23 in
section 1.2 of our textbook to review techniques for
solving homogeneous equations.
Note that we've been given an intial value of the form
y(a) = b where a > 0, so this only determines a
solution corresponding to the right half of the graph of
In(x), i.e., the part of the graph corresponding to
positive values of x. Therefore, we should write In(x)
instead of ln(|x|), since the left half of the graph is
not determined by the initial condition given.
Chapter 56 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 56 - Add, subtract, multiply, or divide each of the...Ch. 56 - Determine A.Ch. 56 - Prob. 3ARCh. 56 - Express 68.85 as degrees and minutes.Ch. 56 - Express 64.1420 as degrees, minutes, and seconds.Ch. 56 - Express 3723' as decimal degrees to 2 decimal...Ch. 56 - Express 10338'43" as decimal degrees to 4 decimal...Ch. 56 - Using a simple protractor, measure each of the...Ch. 56 - Prob. 9ARCh. 56 - Write the complement of each of the following...
Ch. 56 - Write the complement of each of the following...Ch. 56 - Given: ABCD and FEGH . Determine the value of each...Ch. 56 - a. Determine: (1) 1 (2) Side a b. Determine: (1) 1...Ch. 56 - a. Given: a=8.400 and b=9.200 . Find c. b. Given:...Ch. 56 - Compute 1.Ch. 56 - Determine the circumference of a circle that has a...Ch. 56 - Determine the diameter of a circle that has a...Ch. 56 - a. Given: CD=184 mm and CE=118 mm. Determine CF...Ch. 56 - a. Given: EB=5.150. Determine AE . b. Given:...Ch. 56 - Given: Points A and E are tangent points. EB is a...Ch. 56 - a. Given: AC=110andr=4.700 Compute arc length AC...Ch. 56 - a. Given: Dia H=14.520 and d=8.300. Compute Dia M....Ch. 56 - Prob. 23ARCh. 56 - a. Given: x=360 inches and y=5.10 inches. Compute...Ch. 56 - Prob. 25ARCh. 56 - A flat is cut on a circular piece as shown....Ch. 56 - A spur gear is shown. Pitch circles of spur gears...Ch. 56 - Determine the arc length from point C to point D...Ch. 56 - Prob. 29ARCh. 56 - Determine dimension x to 3 decimal places.Ch. 56 - Refer to the drill jig shown. Determine 1.Ch. 56 - Prob. 32ARCh. 56 - Prob. 33ARCh. 56 - Lay out the template shown. Make the layout full...
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