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

Solve these differential equations.

1.30 y′ – y = ex

2.30 x + xy + y′(y + xy) = 0

3.30 y′′ = 2 – y

4.30 y′′ + y = sin2x, y(0) = 0, y′(0) = 0

5.30 y′′ + 4y′ + 4y = e−2xlnx
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