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Suppose That an Epidemic Is Spreading at a Rate Proportional $y ^ { \prime } = g ( y )$

Question 126

Multiple Choice

Suppose that an epidemic is spreading at a rate proportional to the square of the infected population. Let f(t) be the number of infected people at time t, and suppose y = f(t) satisfies a differential equation $y ^ { \prime } = g ( y )$ . Which of the following sets of curves could represent solutions of $y ^ { \prime } = g ( y ) ?$ [Hint: First determine the differential equation $y ^ { \prime }$ = g(y) .]

A) $Suppose that an epidemic is spreading at a rate proportional to the square of the infected population. Let f(t) be the number of infected people at time t, and suppose y = f(t) satisfies a differential equation y ^ { \prime } = g ( y ) . Which of the following sets of curves could represent solutions of y ^ { \prime } = g ( y ) ? [Hint: First determine the differential equation y ^ { \prime } = g(y) .] A) B) C) D)$
B) $Suppose that an epidemic is spreading at a rate proportional to the square of the infected population. Let f(t) be the number of infected people at time t, and suppose y = f(t) satisfies a differential equation y ^ { \prime } = g ( y ) . Which of the following sets of curves could represent solutions of y ^ { \prime } = g ( y ) ? [Hint: First determine the differential equation y ^ { \prime } = g(y) .] A) B) C) D)$
C) $Suppose that an epidemic is spreading at a rate proportional to the square of the infected population. Let f(t) be the number of infected people at time t, and suppose y = f(t) satisfies a differential equation y ^ { \prime } = g ( y ) . Which of the following sets of curves could represent solutions of y ^ { \prime } = g ( y ) ? [Hint: First determine the differential equation y ^ { \prime } = g(y) .] A) B) C) D)$
D) $Suppose that an epidemic is spreading at a rate proportional to the square of the infected population. Let f(t) be the number of infected people at time t, and suppose y = f(t) satisfies a differential equation y ^ { \prime } = g ( y ) . Which of the following sets of curves could represent solutions of y ^ { \prime } = g ( y ) ? [Hint: First determine the differential equation y ^ { \prime } = g(y) .] A) B) C) D)$

Suppose That an Epidemic Is Spreading at a Rate Proportional y′=g(y)y ^ { \prime } = g ( y )y′=g(y)

Multiple Choice

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Suppose That an Epidemic Is Spreading at a Rate Proportional $y ^ { \prime } = g ( y )$

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