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

Solve these differential equations.

1.12 x3y′ + x2y + x +1 = 0

2.12 (x + y)dx + xdy = 0

3.12 yy′′ + 1 = y′2

4.12 y′′ + y = cos3x, y(π/2) = 4, y′(π/2) = 1

5.12 y′′ + 2y′ + y = 3e−x√x + 1

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