
Concept explainers
(A)
The point

Answer to Problem 1AR
The point
Explanation of Solution
Given:
The point is
Calculation:
The ordered pair
The point
Thus, the point
Conclusion:
The point
(B)
The point

Answer to Problem 1AR
The point
Explanation of Solution
Given:
The point is
Calculation:
The ordered pair
The point
Thus, the point
Conclusion:
The point
(c)
The point

Answer to Problem 1AR
The point
Explanation of Solution
Given:
The point is
Calculation:
The ordered pair
The point
Thus, the point
Conclusion:
The point
(D)
The point

Answer to Problem 1AR
The point
Explanation of Solution
Given:
The point is
Calculation:
The ordered pair
The point
Thus, the point
Conclusion:
The point
(e)
The point

Answer to Problem 1AR
The point
Explanation of Solution
Given:
The point is
Calculation:
The ordered pair
The point
Thus, the point
Conclusion:
The point
(f)
The point

Answer to Problem 1AR
The point
Explanation of Solution
Given:
The point is
Calculation:
The ordered pair
The point
Thus, the point
Conclusion:
The point
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Chapter 85 Solutions
Mathematics for Machine Technology
- 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.arrow_forwardQ/ Find the region where ODES has no limit cycle: -X = X + X3 y=x+y+y'arrow_forwardB: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.arrow_forward
- 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
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