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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