solve the following differential equations: a) (2x²³x+ sin (1/2-½x) + y ) dx + (x²y-x) dy = 0 b) (3 (4+x³) x²y³-1) dx + ((4+x³) ¹² y ²) dy = 0 c) y (3) - 54 (²) +2sy² - 125y = x(esx_125) + 25 4 d) xy" + 2(x-1) y' - 6y = x² + 3/5 X-4c-x

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A: Answer is given.

Q: ) 2 xýt 2xy - Sinh (32)

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A: Given the differential equation(2x+3y−5)dx+(3x−y−2)dy=0

Q: Which of the following differential equations is an exact differential equation (x +)dx- xy đy-0…

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Q: 3) Solve the differential equation (D² + 3D + 2)y = 12x²

A:

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Q: Solve the differential equation A. y = x² +cos3x + C B. y = x² + cos 3x + C dy dx = 2x + sin 3x. C.…

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Q: (군2-1) 을 + 2y3 (+ 1)°

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Q: d) Solve the differential equation of y"" + 4y' = sec 2x

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