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

Solve these differential equations.

1.6 x2dy + y2dx = 3(x2 – y2)dx

2.6 e1 + x2tgydx = e2x/(x − 1)dy

3.6 y′′ + y′tgx = sin2x

4.6 y′′ – y = cos2x, y(0) = –1/5, y′(0) = 1

5.6 y′′ + 4y = ctg2x
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