Ejercicios de repaso sección 3.9

Resolver la ED de orden superior por Cauchy Euler.

1. $\hspace{0.5cm}x^2y''-2y=0$

2. $\hspace{0.5cm}xy''-3y'=0$

3. $\hspace{0.5cm}x^2y''+xy'+4y=0$

4. $\hspace{0.5cm}x^2y''-3xy'-2y=0$

5. $\hspace{0.5cm}4x^2y''+4xy'-y=0$

6. $\hspace{0.5cm}x^2y''+5xy'+4y=0$

7. $\hspace{0.5cm}x^2y''-7xy'+41y=0$

8. $\hspace{0.5cm}x^3y'''-6y=0$

9. $\hspace{0.5cm}x^3y'''+xy'-y=0$

10. $\hspace{0.5cm}xy^{(4)}+6y'''=0$

11. $\hspace{0.5cm}xy''-4y'=x^4$

12. $\hspace{0.5cm}2x^2y''+5xy'+y=x^2-x$

13. $\hspace{0.5cm}x^2y''-xy'+y=2x$

14. $\hspace{0.5cm}x^2y''-2xy'+2y=x^4e^x$

10. $\hspace{0.5cm}x^2y''+xy'-y=\ln \left| x\right|$