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Consider the following differential equation dy dt + 2y = 3. which of the following is correct? O The given differential equation is non- linear O The differential equation is homogenous and non-linear O The given differential equation is non- homogenous O The order of the differential equation is 1

Consider the following differential equation dy dt + 2y = 3. which of the following is correct? O The given differential equation is non- linear O The differential equation is homogenous and non-linear O The given differential equation is non- homogenous O The order of the differential equation is 1

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Consider the following differential equation dy dt + 2y = 3. which of the following is correct? The given differential equation is non- linear O The differential equation is homogenous and non-linear O The given differential equation is non- homogenous O The order of the differential equation is 1
Transcribed Image Text:Consider the following differential equation dy dt + 2y = 3. which of the following is correct? The given differential equation is non- linear O The differential equation is homogenous and non-linear O The given differential equation is non- homogenous O The order of the differential equation is 1
A PHYS1034 students is asked to model the cockroach population found in his/her dormitory. The student assume that the population of cockroach is growing at a constant rate proportional to the initial population. The student wants to account for the carrying capacity (r) and the explosive growth of the population. Which of the following model is correct ? The correct model should have taken dP dt the following form = k (r + P). The correct model should have taken the following form = kP (r – P). dP dt The correct model should have taken the following form dP dt = k (r – P²). O The correct model should have taken dP the following form = k (r – P). | dt
Transcribed Image Text:A PHYS1034 students is asked to model the cockroach population found in his/her dormitory. The student assume that the population of cockroach is growing at a constant rate proportional to the initial population. The student wants to account for the carrying capacity (r) and the explosive growth of the population. Which of the following model is correct ? The correct model should have taken dP dt the following form = k (r + P). The correct model should have taken the following form = kP (r – P). dP dt The correct model should have taken the following form dP dt = k (r – P²). O The correct model should have taken dP the following form = k (r – P). | dt
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