I. SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cos³x – 1) dx = 0 2. xy' =2xex - y + 6x2 3. (x+1)dy = (2xe*- xy - 2y)dx 4. ydx + x(Inx - Iny - 1) dy = 0, when x = 1, y = e 5. y dy = x(1 + x2)-1/2(1 + y2)/2 dx 6. (v + cosx -: -2xy)y' yly + sinx] ;when x = 0, y = 1

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