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\text { 2. Use Euler's method with } \Delta t=1 \text { and then } \Delta t=.1 \text { to estimate the solution of the initial value } problem T^{\prime}(t)=40-2

T(t)+t^{2}, \quad T(0)=110 for 0<=t<=10. Give a plot of both approximate solutions you obtain on the same graph. Note that this differential equation could be used to model Newton's law of cooling which we will discuss later in this class (p.38).

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