MATLAB CODE ANSWERS NEEDED

(a) Use one of MATLABs built-in functions for solving an ODE.

(b) Solve this problem by applying the improved Eulers method.

(c) Use one of the multistep methods to solve this problem.

Consider the cylindrical water tank that is shown in the figure. The tank is being filled at the top, and water flows out of the tank through a pipe that is connected at the bottom. The rate of change of the height, h, of the water is given by the following equation: dh 2TT dmdl For the given tank, Agank -3.13 m2, Ahole 0.06 m2, K 300 kg/h, K2 200 kg/h. Also, p 1000 kg/m3, and g 9.81 m/s2 Determine, and plot the height of the water as a function of time for 0 s ts 150 s, if att 0,h 3 m. tank (a) Use one of MATLAB's built-in functions for solving an ODE. (b) Solve this problem by applying the improved Euler's method. (c) Use one of the multistep methods to solve this problem. dmour/dt