Question: Please include code as much as possible. Was only able to get part a Consider the initial value problem dy/dt=t-e^-t/y+e^y' y(1.5)=0.5 (a) Use ode45 to

 Please include code as much as possible. Was only able to

Please include code as much as possible. Was only able to get part a

Consider the initial value problem dy/dt=t-e^-t/y+e^y' y(1.5)=0.5 (a) Use ode45 to find approximate values of the solution at t=0, 1, 1.8, and 2.1 Then plot the solution. (b) In this part you should use the results from parts (c) and (d) of Problem 5 in Problem Set B (which appears in the Sample Solutions). Compare the values of the actual solution and the numerical solution at the four specified points. Plot the actual solution and the numerical solution on the same graph. (c) Now plot the numerical solution on several large intervals (e.g., 1.5 lessthanorequalto t lessthanorequalto 10 or 1.5 lessthanorequalto t lessthanorequalto 100). Make a guess about the nature of the solution as t rightarrow infinity. Try to justify your guess on the basis of the differential equation

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