5. (20 pts total) Given the differential equation and initial conditions for a simplistic population model...

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5. (20 pts total) Given the differential equation and initial conditions for a simplistic population model below: Births Deaths dP/dt = 2*P(t) -15 tinitial=0.0; tfinal = 10.0; delt = 2.0 initial value: P(0)= 100. a. (4 pts) Draw a stock and flow diagram for the system. **Note, this is not the same population model from class. You will need to make adjustments. b. (8 pts) Use Euler's method to find the value of P for the first step (i.e., 1 step after the initial point). What is the value of time t after that step? c. (8 pts) Use Euler's method to find the value of P for the second step. What is the value of time t after that step? 5. (20 pts total) Given the differential equation and initial conditions for a simplistic population model below: Births Deaths dP/dt = 2*P(t) -15 tinitial=0.0; tfinal = 10.0; delt = 2.0 initial value: P(0)= 100. a. (4 pts) Draw a stock and flow diagram for the system. **Note, this is not the same population model from class. You will need to make adjustments. b. (8 pts) Use Euler's method to find the value of P for the first step (i.e., 1 step after the initial point). What is the value of time t after that step? c. (8 pts) Use Euler's method to find the value of P for the second step. What is the value of time t after that step?