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

Solve these differential equations.

1.23 xln(x/y)dy – ydx = 0

2.23 y′x + y = −xy2

3.23 y′′ + y′/x = 0

4.23 y′′ − y = 9xe2x, y(0) = 0, y′(0) = −5

5.23 y′′ + y = (2 + cos3x)/cos2x
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