Question: 2) Consider the initial value problem dy y+3 y(0) = 2 dt t-4 a) Use Euler's method with step size At = 0.5 to

2) Consider the initial value problem dy y+3 y(0) = 2 dt t-4 a) Use Euler's method with step size At = 0.5 to approximate y(1). (5 pts) b) Use Euler's method with step size At = 0.25 to approximate y(1). (5 pts) c) Find exact solution to the initial value problem and use it to compute the exact value of y(1). (5pts) d) Something strange should have happened in parts (a), (b), and (c). What is it and why is it happening? (5 pts)

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