Developmental Mathematics (9th Edition)
9th Edition
ISBN: 9780321997173
Author: Marvin L. Bittinger, Judith A. Beecher
Publisher: PEARSON
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Chapter H, Problem 27ES
To determine
To calculate: The solution of the equation
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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 H Solutions
Developmental Mathematics (9th Edition)
Ch. H - Solve: | x |=6. Then graph on the number line.Ch. H - Prob. 2DECh. H - Prob. 3DECh. H - Prob. 4DECh. H - Prob. 5DECh. H - Prob. 6DECh. H - Prob. 7DECh. H - Prob. 8DECh. H - Prob. 9DECh. H - Prob. 1ES
Ch. H - Prob. 2ESCh. H - Prob. 3ESCh. H - Prob. 4ESCh. H - Prob. 5ESCh. H - Prob. 6ESCh. H - Prob. 7ESCh. H - Prob. 8ESCh. H - Prob. 9ESCh. H - Prob. 10ESCh. H - Prob. 11ESCh. H - Prob. 12ESCh. H - Prob. 13ESCh. H - Prob. 14ESCh. H - Prob. 15ESCh. H - Prob. 16ESCh. H - Prob. 17ESCh. H - Prob. 18ESCh. H - Prob. 19ESCh. H - Prob. 20ESCh. H - Prob. 21ESCh. H - Prob. 22ESCh. H - Prob. 23ESCh. H - Prob. 24ESCh. H - Prob. 25ESCh. H - Prob. 26ESCh. H - Prob. 27ESCh. H - Prob. 28ESCh. H - Prob. 29ESCh. H - Prob. 30ESCh. H - Prob. 31ESCh. H - Prob. 32ESCh. H - Prob. 33ESCh. H - Prob. 34ESCh. H - Prob. 35ESCh. H - Prob. 36ES
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- Solve: X + sin X = 0 by the false positionining numerical methodarrow_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_forwardSolve the given differential equation by using an appropriate substitution. The DE is homogeneous. y-x dy dx = y + xarrow_forward
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