EBK MATHEMATICS FOR MACHINE TECHNOLOGY
7th Edition
ISBN: 9780100548169
Author: SMITH
Publisher: YUZU
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Chapter 83, Problem 32A
To determine
To express:
A hexadecimal number into a decimal number.
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Q/ show that the system:
x = Y + x(x² + y²)
y° =
=x+y (x² + y²)
9
X=-x(x²+ y²)
9 X
Y° = x - y (x² + y²)
have the same lin car part at (0,0) but they are topologically
different. Give the reason.
Q/ Find the region where ODES has no limit cycle:
-X = X + X3
y=x+y+y'
B:Show that the function 4H(x,y)= (x² + y2)2-2((x² + y²) is a first
integral of ODES:
x=y + y(x² + y²)
y=x+x (x² + y²)
and sketch the stability of critical points and draw the phase portrait of
system.
Chapter 83 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 83 - Prob. 1ACh. 83 - Prob. 2ACh. 83 - Prob. 3ACh. 83 - Prob. 4ACh. 83 - Prob. 5ACh. 83 - Prob. 6ACh. 83 - Prob. 7ACh. 83 - Prob. 8ACh. 83 - Prob. 9ACh. 83 - Prob. 10A
Ch. 83 - Prob. 11ACh. 83 - Prob. 12ACh. 83 - Prob. 13ACh. 83 - Prob. 14ACh. 83 - Prob. 15ACh. 83 - Prob. 16ACh. 83 - Prob. 17ACh. 83 - Prob. 18ACh. 83 - Prob. 19ACh. 83 - Prob. 20ACh. 83 - Prob. 21ACh. 83 - Prob. 22ACh. 83 - Prob. 23ACh. 83 - Prob. 24ACh. 83 - Prob. 25ACh. 83 - Prob. 26ACh. 83 - Prob. 27ACh. 83 - Prob. 28ACh. 83 - Prob. 29ACh. 83 - Prob. 30ACh. 83 - Prob. 31ACh. 83 - Prob. 32ACh. 83 - Prob. 33ACh. 83 - Prob. 34ACh. 83 - Prob. 35ACh. 83 - Prob. 36ACh. 83 - Prob. 37ACh. 83 - Prob. 38ACh. 83 - Prob. 39ACh. 83 - Prob. 40ACh. 83 - Prob. 41ACh. 83 - Prob. 42ACh. 83 - Prob. 43ACh. 83 - Prob. 44ACh. 83 - Prob. 45ACh. 83 - Prob. 46A
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- A: Show that the ODES has no limit cycle in a region D and find this region: x=y-2x³ y=x+y-2y3 Carrow_forwardoptımızatıon theoryarrow_forwardQ3)A: Given H(x,y)= x²-x4 + y² as a first integral of an ODEs, find this ODES corresponding to H(x,y) and show the phase portrait by using Hartman theorem and by drawing graph of H(x,y)=c. Discuss the stability of critical points of the corresponding ODEs.arrow_forward
- ) The set {1,2,..., 22} is to be split into two disjoint non-empty sets S and T in such a way that: (i) the product (mod 23) of any two elements of S lies in S; (ii) the product (mod 23) of any two elements of T lies in S; (iii) the product (mod 23) of any element of S and any element of T lies in T. Prove that the only solution is S = {1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18}, T= {5, 7, 10, 11, 14, 15, 17, 19, 20, 21, 22}.arrow_forwardPlease don't use chatgpt.arrow_forwardSolve Problem I, 4, from the Shushu jiuzhang, which is equivalent to N = 0 (mod 11), N = 0 (mod 5), N = 4 (mod 9), N = 6 (mod 8), N = 0 (mod 7).]arrow_forward
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