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Match the Logistic Differential Equation and Initial Condition with the Graph

Question 15

Multiple Choice

Match the logistic differential equation and initial condition with the graph of its solution shown below.  Match the logistic differential equation and initial condition with the graph of its solution shown below.   A)   \frac { d y } { d t } = y \left( y - \frac { 1 } { 15 } \right)  , ( 0,8 )   B)   \frac { d y } { d t } = y \left( y - \frac { 1 } { 15 } \right)  , ( 0,12 )   C)   \frac { d y } { d t } = y \left( y - \frac { 1 } { 15 } \right)  , ( 0,6 )   D)   \frac { d y } { d t } = y \left( y - \frac { 1 } { 15 } \right)  , ( 0,15 )   E)   \frac { d y } { d t } = y \left( y - \frac { 1 } { 8 } \right)  , ( 0,15 )


A) dydt=y(y115) ,(0,8) \frac { d y } { d t } = y \left( y - \frac { 1 } { 15 } \right) , ( 0,8 )
B) dydt=y(y115) ,(0,12) \frac { d y } { d t } = y \left( y - \frac { 1 } { 15 } \right) , ( 0,12 )
C) dydt=y(y115) ,(0,6) \frac { d y } { d t } = y \left( y - \frac { 1 } { 15 } \right) , ( 0,6 )
D) dydt=y(y115) ,(0,15) \frac { d y } { d t } = y \left( y - \frac { 1 } { 15 } \right) , ( 0,15 )
E) dydt=y(y18) ,(0,15) \frac { d y } { d t } = y \left( y - \frac { 1 } { 8 } \right) , ( 0,15 )

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