Question: Matlab Consider the initial value problem e^y + (te^y - sin y) dy/dt = 0, y (2) = 1.5 a. Use ode45() to find approximate

Matlab

Matlab Consider the initial value problem e^y + (te^y - sin y)

Consider the initial value problem e^y + (te^y - sin y) dy/dt = 0, y (2) = 1.5 a. Use ode45() to find approximate values of the solution at x = 1, 1.5, and 3. Then plot the solution on the interval [0.5, 4]. b. Plot the solution for several large intervals and guess at the behavior of the solution as t rightarrow infinity. c. Plot the solution for several intervals of the form [elementof, 2], where epsilon is a small number. What do you think is happening as t rightarrow 0^+

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