Determine the critical values for the first-order autonomous ODE dy/dx = y 3 - 9

Question

Determine the critical values for the first-order autonomous ODE

dy/dx = y3 - 9y Choose at least one answer. a. 3
b. -3
c. 1
d. -1
e. 0
f. 9
g. -9











Determine the critical values for the first-order autonomous ODE

dy/dx = y3 - 9y Choose at least one answer. a. 3
b. -3
c. 1
d. -1
e. 0
f. 9
g. -9










Determine the critical values for the first-order autonomous ODE

dy/dx = y3 - 9y Choose at least one answer. a. 3
b. -3
c. 1
d. -1
e. 0
f. 9
g. -9

dy/dx = y3 - 9y Choose at least one answer.







Determine the critical values for the first-order autonomous ODE

dy/dx = y3 - 9y Choose at least one answer. a. 3
b. -3
c. 1
d. -1
e. 0
f. 9
g. -9

Explanation / Answer

dy/dx = y3 - 9y
critical values we get by keeping dy/dx = 0
=> y^3 - 9y = 0
=> y ( y^2 - 9 ) = 0
=> y = 0 , 3 , -3

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