Ejercicios de repaso sección 2.4

Transforme la ecuación diferencial en exacta y resuélvala.

1. $\hspace{0.5cm}y(x+y+1)dx+(x+2y)dy=0$
2. $\hspace{0.5cm}6xydx+(4y+9x^2)dy=0$
3. $\hspace{0.5cm}(2x^3+y)dx-xdy=0$
4. $\hspace{0.5cm}x^2senxdx+xydy=0$
5. $\hspace{0.5cm}(5x^2-xy+x^3senx)dx+(x^2+x^3y)dy=0$
6. $\hspace{0.5cm}(x+y+2)dx+dy=0$
7. $\hspace{0.5cm}(xy^2-y^3)dx+(1-xy^2)dy=0$
8. $\hspace{0.5cm}(2y^2+3x)dx+2xydy=0$
9. $\hspace{0.5cm}(10-6y+e^{-3x})dx-2dy=0$
10. $\hspace{0.5cm}y^2cosxdx+(4+5ysenx)dy=0$                 Sujeta a $y(0)=2$