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

Solve these differential equations.

1.20 y′cosx − ysinx = sinx

2.20 (x2 – 2y2)dx + 2xydy = 0

3.20 x2y′′ + y′2 = 0

4.20 y′′ + 6y′ + 8y = 3x2 + 2x + 1, y(0) = 17/64, y′(0) = 0

5.20 y′′ + y = 1/sinx
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