Writeoutbyhandanestimateofthewaterlevelyattimet$=1\mathrm{.}5$secusingEuler$$smethodwith a step size of h $=0\mathrm{.}5$ sec$.(3$ pts$)$

b$)$ Implement Euler$$s method in a fully commented computer code to solve for the depth of water as a function of time from t $=0$ to $10$ sec with a step size of $0\mathrm{.}5$ sec$.$ Show all numerical results in a nicely formatted table. Print out your code and attach it to your assignment. $(3$ pts$)$

c$)$ Plot the solution $($y versus t$)$ for $0<=$ t $<=10.$ Be sure to clearly label all axes in your plot. $(2$ pts$)$

d$)$ Assuming no forcing function exists here, list ALL of the following for the mathematical model $($i$.$e$.$ the ODE$)$ in this problem $(2$ pts$)$:

Dependent variable$($s$)$

Independent variable$($s$)$

System parameter$($s$)$