CHECK POINT 1 Write ⊆ or ⊆ in each blank to form a true statement: a. A = { 1 , 3 , 5 , 6 , 9 , 11 } B = { 1 , 3 , 5 , 7 } A _ _ _ B b. A = { x | x is a letter in the word r o o f } B = { y | y is a letter in the word p r o o f } A _ _ _ B c. A = { x | x is a day of the week } B = { Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday } A _ _ _ B
CHECK POINT 1 Write ⊆ or ⊆ in each blank to form a true statement: a. A = { 1 , 3 , 5 , 6 , 9 , 11 } B = { 1 , 3 , 5 , 7 } A _ _ _ B b. A = { x | x is a letter in the word r o o f } B = { y | y is a letter in the word p r o o f } A _ _ _ B c. A = { x | x is a day of the week } B = { Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday } A _ _ _ B
Solution Summary: The author explains that the given statement is true for Asubseteq B.
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.
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