Elementary Differential Equations
10th Edition
ISBN: 9780470458327
Author: William E. Boyce, Richard C. DiPrima
Publisher: Wiley, John & Sons, Incorporated
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Chapter 4.3, Problem 7P
To determine
The general solution of the
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5
Obtain by multiplying matrices the composite coordinate transformation of two transformations, first
x' = (x + y√2+ z)/2
followed by
y' =
(x√√2-2√2)/2
z' = (-x+y√2-2)/2
x"
=
y"
2"
=
(x'√√2+2'√√2)/2
(-x'y'√√2+)/2
(x'y' √√2-z)/2.
What is the answer in 10.3
4
The plane 2x + 3y+ 6z = 6 intersects the coordinate axes at P, Q, and R, forming a triangle. Draw a
figure and identify the three points on it. Also find vectors PQ and PR. Write a vector formula for the area of the
triangle PQR and find its value.
Chapter 4 Solutions
Elementary Differential Equations
Ch. 4.1 - In each of Problems 1 through 6, determine...Ch. 4.1 - In each of Problems 1 through 6, determine...Ch. 4.1 - In each of Problems 1 through 6, determine...Ch. 4.1 - In each of Problems 1 through 6, determine...Ch. 4.1 - In each of Problems 1 through 6, determine...Ch. 4.1 - Prob. 6PCh. 4.1 - In each of Problems 7 through 10, determine...Ch. 4.1 - Prob. 8PCh. 4.1 - In each of Problems 7 through 10, determine...Ch. 4.1 - Prob. 10P
Ch. 4.1 - In each of Problems 11 through 16, verify that the...Ch. 4.1 - In each of Problems 11 through 16, verify that the...Ch. 4.1 - In each of Problems 11 through 16, verify that the...Ch. 4.1 - In each of Problems 11 through 16, verify that the...Ch. 4.1 - In each of Problems 11 through 16, verify that the...Ch. 4.1 - In each of Problems 11 through 16, verify that the...Ch. 4.1 - Prob. 17PCh. 4.1 - Prob. 18PCh. 4.1 - Prob. 19PCh. 4.1 - Prob. 20PCh. 4.1 - Prob. 21PCh. 4.1 - Prob. 22PCh. 4.1 - Prob. 23PCh. 4.1 - Prob. 24PCh. 4.1 - Prob. 25PCh. 4.1 - Prob. 26PCh. 4.1 - Prob. 27PCh. 4.1 - Prob. 28PCh. 4.2 - In each of Problems 1 through 6, express the given...Ch. 4.2 - In each of Problems 1 through 6, express the given...Ch. 4.2 - In each of Problems 1 through 6, express the given...Ch. 4.2 - In each of Problems 1 through 6, express the given...Ch. 4.2 - In each of Problems 1 through 6, express the given...Ch. 4.2 - In each of Problems 1 through 6, express the given...Ch. 4.2 - Prob. 7PCh. 4.2 - Prob. 8PCh. 4.2 - Prob. 9PCh. 4.2 - Prob. 10PCh. 4.2 - In each of Problems 11 through 28, find the...Ch. 4.2 - In each of Problems 11 through 28, find the...Ch. 4.2 - In each of Problems 11 through 28, find the...Ch. 4.2 - In each of Problems 11 through 28, find the...Ch. 4.2 - Prob. 15PCh. 4.2 - Prob. 16PCh. 4.2 - Prob. 17PCh. 4.2 - Prob. 18PCh. 4.2 - Prob. 19PCh. 4.2 - In each of Problems 11 through 28, find the...Ch. 4.2 - In each of Problems 11 through 28, find the...Ch. 4.2 - In each of Problems 11 through 28, find the...Ch. 4.2 - In each of Problems 11 through 28, find the...Ch. 4.2 - In each of Problems 11 through 28, find the...Ch. 4.2 - In each of Problems 11 through 28, find the...Ch. 4.2 - In each of Problems 11 through 28, find the...Ch. 4.2 - In each of Problems 11 through 28, find the...Ch. 4.2 - In each of Problems 11 through 28, find the...Ch. 4.2 - In each of Problems 29 through 36, find the...Ch. 4.2 - Prob. 31PCh. 4.2 - Prob. 32PCh. 4.2 - Prob. 33PCh. 4.2 - Prob. 34PCh. 4.2 - Prob. 35PCh. 4.2 - Prob. 36PCh. 4.2 - Prob. 37PCh. 4.2 - Prob. 38PCh. 4.2 - Prob. 39PCh. 4.2 - Prob. 40PCh. 4.3 - In each of Problems 1 through 8, determine the...Ch. 4.3 - In each of Problems 1 through 8, determine the...Ch. 4.3 - In each of Problems 1 through 8, determine the...Ch. 4.3 - In each of Problems 1 through 8, determine the...Ch. 4.3 - In each of Problems 1 through 8, determine the...Ch. 4.3 - In each of Problems 1 through 8, determine the...Ch. 4.3 - In each of Problems 1 through 8, determine the...Ch. 4.3 - In each of Problems 1 through 8, determine the...Ch. 4.3 - In each of Problems 9 through 12, find the...Ch. 4.3 - In each of Problems 9 through 12, find the...Ch. 4.3 - In each of Problems 9 through 12, find the...Ch. 4.3 - In each of Problems 9 through 12, find the...Ch. 4.3 - In each of Problems 13 through 18, determine a...Ch. 4.3 - In each of Problems 13 through 18, determine a...Ch. 4.3 - In each of Problems 13 through 18, determine a...Ch. 4.3 - In each of Problems 13 through 18, determine a...Ch. 4.3 - In each of Problems 13 through 18, determine a...Ch. 4.3 - In each of Problems 13 through 18, determine a...Ch. 4.3 - Prob. 19PCh. 4.3 - Show that linear differential operators with...Ch. 4.4 - Prob. 1PCh. 4.4 - In each of Problems 1 through 6, use the method of...Ch. 4.4 - In each of Problems 1 through 6, use the method of...Ch. 4.4 - In each of Problems 1 through 6, use the method of...Ch. 4.4 - In each of Problems 1 through 6, use the method of...Ch. 4.4 - In each of Problems 1 through 6, use the method of...Ch. 4.4 - In each of Problems 7 and 8, find the general...Ch. 4.4 - In each of Problems 7 and 8, find the general...Ch. 4.4 - In each of Problems 9 through 12, find the...Ch. 4.4 - In each of Problems 9 through 12, find the...Ch. 4.4 - In each of Problems 9 through 12, find the...Ch. 4.4 - In each of Problems 9 through 12, find the...Ch. 4.4 - Given that x, x2, and 1/x are solutions of the...Ch. 4.4 - Find a formula involving integrals for a...Ch. 4.4 - Find a formula involving integrals for a...Ch. 4.4 - Find a formula involving integrals for a...Ch. 4.4 - Find a formula involving integrals for a...
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- Equilibrium Equations: Two-dimensional 2.28 Ra= Rc= 2.29 (change force to 600N) AC= AB= 2.33 CD= AC= DE= BC= Free Body Diagrams 2.34 Ax= Ay=_ Bx= By= 2.36 Ax= Ay= Bx= By= 2.37 (change middle force to 4000 lbs) Ay=_ Dx= Dy=_ 2.38 (change horizontal force to 2 kN) Ax= Ay= Bx= By=_ 2.40 Ay= By= Dx= 32% Bx= Cy= Dy=arrow_forwardYou can add the two forces together to get the total force at each joint.arrow_forwardFor 2.29 Find the forces in AC and CB (not AB) that are pushing on the joint C. Please also include an arrow that shows how the forces are pushing on joint C. Are they pushing on C or pulling on C. For 2.29 change force to 600N.arrow_forward
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