The following differential equation describes the dynamics of an experimental yeast population dN/dt = (0.57 − 0.0026N)N where N(t) is the population size (in millions of individuals per mL) at time t (in hours). Suppose N(0) = 0.2. Use Euler's method with a step size of h = 0.5 to estimate the population size after four hours. (Round your answer to four decimal places.)

N(4)= ??

The population size after four hours is millions of individuals per mL.

Step-by-step explanation:

Because and we can say that the differential equation is .

To find for , when  with a step size of using the Euler's method you must:

The Euler's method states that , where .

We have that , , .

Step 1.

Step 2.

Step 3.

Step 4.

Step 5.

Step 6.

Step 7.

Step 8.

Therefore, the population size after four hours is millions of individuals per mL.

the reporter's right

step-by-step explanation:

1/4 = .25 / 25%