Ejercicios de repaso sección 2.5

Resolver la ecuación diferencial homogénea.

1. $\hspace{0.5cm}(x-y)dx+xdy=0$
2. $\hspace{0.5cm}(x+y)dx+xdy=0$
3. $\hspace{0.5cm}xdx+(y-2x)dy=0$
4. $\hspace{0.5cm}ydx=2(x+y)dy$
5. $\hspace{0.5cm}\dfrac{dy}{dx}=\dfrac{y}{x}+\dfrac{x}{y}$
6. $\hspace{0.5cm}-ydx+(x+\sqrt {xy})dy=0$
7. $\hspace{0.5cm}(2\sqrt {xy}-y)dx-xdy=0$
8. $\hspace{0.5cm}(y^2+xy)dx+x^2dy=0$
9. $\hspace{0.5cm}\dfrac{dy}{dx}=\dfrac{y-x}{y+x}=0$
10. $\hspace{0.5cm}\dfrac{dy}{dx}=\dfrac{x+3y}{3x+y}=0$