1. Find the general solution of (general integral) of the differential equation.
1.5 (1 + ex) ydy - eydx = 0
2. Find the general solution of (general integral) of the differential equation.
2.5 (x + 4) dy - xydx = 0
3. Find the general solution of (general integral) of the differential equation.
3.5 (y2 - 2xy) dx + x2dy = 0
4. Find a particular solution of (partial integral) of the differential equation.
4.5 y = 2x (x2 + y), y (0) = 0.
5. Find the general solution of the differential equation.
5.5 xydy = (y2 + x) dx
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