IDZ Ryabushko Option 25 KR "Differential Equations"

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

Solve these differential equations.
1.25 x2y′ = 2xy + 3

2.25 y2 + x2y′ = xyy′

3.25 y′′ = √1 − y′2

4.25 y′′ + 4y = e−2x, y(0) = 0, y′(0) = 0

5.25 y′′ − 3y′ + 2y = 1 + 1/(1 + ex)