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

Solve these differential equations.

1.17 xy′ − y = xtg(y/x)

2.17 y′ + (1 − 2x)/x2y = 1

3.17 2yy′′ = 1 + y′2

4.17 2y′′ + y′ − y = 2ex, y(0) = 0, y′(0) = 1

5.17 y′′ + y = 1/cos2x

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