5. (20pts) Let us consider the initial-value problems dy de = 2 cot(t)y, y(7/4) = 3. (a) Find the exact solution. (b) Use Euler's method
5. (20pts) Let us consider the initial-value problems dy de = 2 cot(t)y, y(7/4) = 3. (a) Find the exact solution. (b) Use Euler's method with 4 steps to approximate y(2x). (c) Calculate the absolute error at every step. (d) Use Euler's method with 2 steps to approximate y(7m/4). (e) Use Euler's method with 3 steps to approximate y(13m/4)
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