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

Solve these differential equations.

1.27 (x2 – 1)y′ – xy = x3 – x

2.27 (x2 – x2y)y′ + y2 + xy2 = 0

3.27 xy′′ + 2y′ = 0

4.27 y′′ − 3y′ − 4y = 17sinx, y(0) = 4, y′(0) = 0

5.27 y′′ − 2y′ + y = ex/x

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