IDZ Ryabushko Option 15 KR "Differential Equations"

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

Solve these differential equations.

1.15 xy + y2 = (2x2 + xy)y′

2.15 y′ + y/(x + 1) + x2 = 0

3.15 y′′ = 2yy′

4.15 y′′ + 4y = sinx, y(0) = 0, y′(0) = 0

5.15 y′′ − y = e2x/(ex − 1)

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