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Please answer with all the steps, thank you!Question 1. (16 points] Solve each of the following IVPs: (a) y + 4y + 4y = -32 cos(4x) + 3e-27, y(0) = -75, Y(0) = - 128Question 2. (16 points] Solve each of the following IVPs: 1. x2y – 2xy + 2y = x2, x > 0, y(1) = 4, y(1) = 7. 2. y + y = cQuestion 5. [8 points] Consider the following integral: 60.5 1 = $ *r cos (9) dx. (a) Use the Midpoint Rule to estimate the v

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(a d+4 +4d -82 Co64 +8e-2 Auwliony ualen Cemplemeny fhnden) (etesx)e Now for patiaun inegaal 2+4m +4 -0 m -2-2 15 L-82 C004M22t8 x( 1e 2 - E 28 25 28 .. 0 Menee en) (4sin4n8otn + 2 &4n4-430o sta 22-21e2 + 25 AW -2rest of question 1you can do in the same way... And please ask other questions separately

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