1. Use Euler's method with Ax = 1 and then Ar = .1 to estimate the solution of the initial value problem y^{\prime}=\frac{1}{50} y(100-y), \quad y(0)=9 for 0

10. Give a plot of both approximate solutions you obtain. Note that this differential equation could be used to model population growth with a carrying capacity of K = 100. Discuss the accuracy of both of your approximate solutions in relation to this population model.