Solve the problem.
-dy/dt = ky + f(t) is a population model where y is the population at time t and f(t) is some function to describe the net effect on the population. Assume k = .02 and y = 10,000 when t = 0. Solve the differential equation of y
When f(t) = -17t.
A) $y = - 850 t + 42,500 - 32,500 e ^ { - .02 t }$
B) $y = - 850 \mathrm { t } - 42,500 - 32,500 \mathrm { e } ^ {\cdot02 \mathrm { t }}$
C) $y = 850 t + 42,500 - 32,500 \mathrm { e } ^{\cdot 02 t}$
D) $y = 850 t + 42,500 - 32,500 e ^ { - .02 t }$

Question

Solve the problem.
-dy/dt = ky + f(t) is a population model where y is the population at time t and f(t) is some function to describe the net effect on the population. Assume k = .02 and y = 10,000 when t = 0. Solve the differential equation of y
When f(t) = -17t. 
A) $y = - 850 t + 42,500 - 32,500 e ^ { - .02 t }$
B) $y = - 850 \mathrm { t } - 42,500 - 32,500 \mathrm { e } ^ {\cdot02 \mathrm { t }}$
C) $y = 850 t + 42,500 - 32,500 \mathrm { e } ^{\cdot 02 t}$
D) $y = 850 t + 42,500 - 32,500 e ^ { - .02 t }$

Quizplus · Accepted Answer

The Answer of Solve the problem.
-dy/dt = ky + f(t) is a population model where y is the population at time t and f(t) is some function to describe the net effect on the population. Assume k = .02 and y = 10,000 when t = 0. Solve the differential equation of y
When f(t) = -17t. 
A) $y = - 850 t + 42,500 - 32,500 e ^ { - .02 t }$
B) $y = - 850 \mathrm { t } - 42,500 - 32,500 \mathrm { e } ^ {\cdot02 \mathrm { t }}$
C) $y = 850 t + 42,500 - 32,500 \mathrm { e } ^{\cdot 02 t}$
D) $y = 850 t + 42,500 - 32,500 e ^ { - .02 t }$

Solve the Problem y=−850t+42,500−32,500e−.02ty = - 850 t + 42,500 - 32,500 e ^ { - .02 t }y=−850t+42,500−32,500e−.02t

Solve the Problem $y = - 850 t + 42,500 - 32,500 e ^ { - .02 t }$