7. The Von Bertalanffy differential equation has successfully modelled the growth of a human tumo over time, using surface area. The model can be described the following differential equation: aV2/3-bV Note here that V describes the size of the tumor, while a, b are constants. This particular differential equation has the following solution: dV dt V(t) = († + (V(0)¹/³ – e-bt/3)³ Verify that this is a solution to the model, keeping in mind that a, b, and V(0) are all constants. 8. Physicians model the absorption rate of medicine in a body using differential equations. Let C(t) be the concentration of a drug at time t. An example of the change in concentration as a differential equation is as follows: dC dt e-t - C Find an expression for C(t), assuming that, at time 0, there is 0 milligrams of the drug in the body.

Q: Evaluate:a. √64    b. -√49  c. √1/4  d. √9 + 16   e. √9 + √16.

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

Q: Match the differential equation with its slope field; justify your answers.

A:

Q: Find the differential equation which has the given family of integral curves. The family of circles…

A:

Q: ccording to a recent data analysis, the amount A(t) of atmospheric pollutants in a certain city is…

A:

Q: Consider the differential equation = 2xy². Let f(x) be the particular solution with ƒ (1) = 2. a)…

A: As per the question we are given a first order differential equation : dy/dx = 2xy2 And y = f(x) is…

Q: Suppose water is leaking from a tank through a circular hole of area A,, at its bottom. When water…

A: Given that The volume of the water leaving the tank per second is,  where  is the height. is area of…

Q: Consider a differential equaUion -x2 y' = xy + xe

A: we have been given a differential equation with initial condition y(0)=0 y'=xy+xe-x2

Q: What is the integrating factor for the differential equation? y' = xy + 9

A: