Question: 3. One of the following two initial value problems is separable, and one is not. (a) Use separation of variables to solve the separable differential


3. One of the following two initial value problems is separable, and one is not. (a) Use separation of variables to solve the separable differential equation, and solve for y as a function of t, simplifying your answer as much as possible. For the one that is not separable, use Euler's method to approximate the solution at t = 2, with At = 1 / 2. d 0f=2+ty, 9(1)=0 d3} 83; = i=4 (1)) When you used Euler's method above, did you get an overestimate or an underestimate of y(2)? Briey explain why. 1 (c) When you used Euler's method above, if you had used A1: = E\" would your estimate of y(2) have increased or decreased? Explain
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