Question 3-5 please!!!

Part C (Based off week 9 workshop content) In the last portfolio task, we modelled water draining from a tank with a small hole in the bottom. To slow the volume decrease of the tank, a hose is placed in the top of tank with flow rate Q(t). This results in the following modified Torcelli's law: dV Given A 4 m2, a0.1 m2, g V(0)-10 m 3. 9.81 m/s2, Q(t)0.7e0 m3/s and 1. Explain why this ODE cannot be solved analytically using separation 2. (AMS Submission) Write a MATLAB function that solves the ODE 3. (AMS Submission) Create a MATLAB function that can numerically or the integrating factor, using MATLAB's ode45 from t = 0 to t 50 solve a first order ODE using the Modified Euler Method. The function should share the same inputs and outputs in the function declaration as the Euler Method Example covered in the week 8 lecture . (AMS Submission) Using your code from Question 3, investigate the effect of the step size by solving the ODE using N 10,20, 40, 80. Plot all 4 numerical solutions and the ODE45 solution on the same figure 5. Comment on the impact of halving step size (ie. doubling N) on the ac- curacy of the numerical solution. You can assume the ODE45 solution to be considered sufficiently exact in this comparison