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y^{\prime}=\frac{1}{55} y(105-y), \quad y(0)=9 \text { 1. Use Euler's method with } \Delta x=1 \text { and then } \Delta x=1 \text { to estimate the solution of the initial

value } \text { problem } for 0<=x<=10. Give a plot of both approximate solutions you obtain on the same graph. Note that this differential equation could be used to model population growth with a carrying capacity of K = 105. Discuss the accuracy of both of your approximate solutions in relation to this population model.

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