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Find the general solution of the differential equation xy/ - 2y/ - (x - 2) sin (x) + y = 0 and choose the correct

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Find the general solution of the differential equation xy/ - 2y/ - (x - 2) sin (x) + y = 0 and choose the correct answer from the following options. O y = 1 x+2 ( -x cos (x) + sin (x) + 2 cos (x)) + C) O y = _ x + 2 - cos (x) + sin (x) + 2 cos (x) + C) O y = - 1 x - 2 ((-x cos (x) + sin (x) + 2 cos (x)) + C) O y = 1 x - 2 -T cos (x) + sin (x) + 2 cos (x) + C) O y = - 1 x + 2 ( cos (x) - sin (x) - 2 cos (2) + C) Question For the following initial value problem, find the general solution, express the arbitrary constant C in terms of z and choose the correct answer from the following options. xy + 2y = 2 cos (x) y(z) = -2 O C= 22 - (zsin (z) + cos (z)) O C=-z2 + (zsin (z) + cos (z)) O C=-z-2 - (zsin (z) + cos (z))

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