Ejercicios de repaso sección 2.3

Determinar si la E.D. es exacta, si lo es revuélvala.

1. $\hspace{0.5cm}(2x+4)dx+(3y-1)dy=0$
2. $\hspace{0.5cm}(2x+y)dx+(x+6y)dy=0$
3. $\hspace{0.5cm}(x+y)(x-y)dx+x(x-2y)dy=0$
4. $\hspace{0.5cm}x\dfrac{dy}{dx}=2xe^x-y+6x^2$
5. $\hspace{0.5cm}\left( 2y-\dfrac {1}{x}+\cos 3x\right) \dfrac {dy}{dx}+\dfrac {y}{x^{2}}-4x^{3}+3ysen3x=0$
6. $\hspace{0.5cm}(x+y)^2dx+(2xy+x^2-1)dy=0$           Sujeta a $y(1)=1$
7. $\hspace{0.5cm}(4xy^3+3y^2+1)dx+(6x^2y^2+6xy)dy=0$
8. $\hspace{0.5cm}(2x-1)dx+(3y+7)dy=0$
9. $\hspace{0.5cm}(x+2y)dx+(x+2y)dy=0$
10. $\hspace{0.5cm}\left( y\ln \left| y\right| -e^{-xy}\right) dx+\left( \dfrac {1}{y}+x\ln \left| y\right| \right) dy=0$