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

Solve these differential equations.

1.2 xdy – ydx = √x2 + y2dx

2.2 y′ + ycosx = cosx

3.2 y′′tgy = 2(y′)2

4.2 4y′′ – 8y′ + 5y = 5cosx, y(0) = 0, y′(0) = −1/13

5.2 y′′ + 3y′ + 2y = 1/ex + 1

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