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Test "Differential Equations" (2 hours). 345 p.

Solve these differential equations.

1.16 xy′ + y = sinx

2.16 y2dx = (xy – x2)dy

3.16 2xy′y′′ = y′2 − 1

4.16 y′′ − 2y′ + 2y = 2x, y(0) = 0, y′(0) = 0

5.16 y′′ − 6y′ + 9y = 36√xe3x
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