Mathematics, 06.05.2020 02:14 notearslefttocry14
Use a computer algebra system to draw a direction field for the differential equation y' = 3y^3 − 12y. Get a printout and sketch on it solutions that satisfy the initial condition y(0) = c for various values of c.
A)For what values of c does the limit L = lim t → [infinity] y(t) exist?
a. c is in [−2, 2]
b. c is in [2, [infinity])
c. c is in [−2, 0]
d. c is in [0, 2]
e. c is in (−[infinity], −2]
B) What are the possible values for this limit L? (Enter your answers as a comma-separated list.) L =
Answers: 3
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Use a computer algebra system to draw a direction field for the differential equation y' = 3y^3 − 12...
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