Ejercicios de repaso sección 2.6

Resolver las ecuaciones diferenciales de Bernoulli.

1. $\hspace{0.5cm}\dfrac{dy}{dx}-y=e^xy^2$
2. $\hspace{0.5cm}x\dfrac{dy}{dx}-(1+x)y=xy^2$
3. $\hspace{0.5cm}x\dfrac{dy}{dx}+y=\dfrac{1}{y^2}$
4. $\hspace{0.5cm}3(1+t^2)\dfrac{dy}{dt}=2ty(y^3-1)$
5. $\hspace{0.5cm}y^{\frac{1}{2}}\dfrac{dy}{dx}+y^{\frac{3}{2}}=1$                Sujeta a $y(0)=4$
6. $\hspace{0.5cm}x^2y^{'}+2xy-y^3=0$
7. $\hspace{0.5cm}\dfrac{dy}{dx}-y=xy^5$
8. $\hspace{0.5cm}y^{'}-\left( 1+\dfrac {1}{x}\right) y=y^{2}$
9. $\hspace{0.5cm}y^{'}+\dfrac{1}{x}y=\dfrac{2}{3}x^4y^{4}$
10. $\hspace{0.5cm}\dfrac{dy}{dx}-\dfrac{2}{x}y=\dfrac{3}{x^2}y^4$