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

Solve these differential equations.

1.11 y′ + 2xy = 2xy3

2.11 y′ + y = exsinx

3.11 y′′′sin4x = sin2x

4.11 y′′ – 3y′ + 2y = –e–2x, y(0) = 1, y′(0) = 0

5.11 y′′ − 6y′ + 9y = (9x2 + 6x + 2)/(x3(3x − 2)e3x
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