$$Write a python code to calculate growth with the exponential solution, Euler method, and three terms in the Taylor series for the parameters in this graph. Use time steps of $1$ day and $2$ days. Run the code with $=0\mathrm{.}1,0\mathrm{.}2,$ and $0\mathrm{.}3.$ Write a short report comparing results, and discuss the effects of time step, growth rate $($curvature$),$ and number of terms in the Taylor series on the amount of error. Remember that the exponential solution is the exact solution. An example of the required output is in the picture.