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

Solve these differential equations.
1.21 xy′ = y + xey/x

2.21 x + y = xy′

3.21 x(y′′ + 1) + y′ = 0

4.21 y′′ + y = xex, y(0) = 0.5, y′(0) = 1

5.21 y′′ + 2y′ + y = e−x/x

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