Caracteriza las siguientes ecuaciones diferenciales indicando si son: ordinarias o parciales; su orden; su grado; si son lineales o no; sus variables dependientes y sus variables independientes
1. $y' = x^2 + 5y$
2. $y'' - 4y' - 5y = e^{3x}$
2. $y'' - 4y' - 5y = e^{3x}$
3. $\frac{\partial U}{\partial t} = 4\frac{\partial ^2 U}{\partial x^2} + \frac{\partial U}{\partial y^2}$
4. $ \left(\frac{\partial ^3 U}{\partial t^3} \right)^2 + \left(\frac{\partial ^3 U}{\partial t^3} \right)^2 = s - 3t $
5. $\frac{dr}{d \theta} = \sqrt {r \theta}$
6. $\frac{d^2 x}{d y^2} - 3x = sen y$
7. $\frac{\partial^2 V}{\partial x^2} = \sqrt [3]{\frac {\partial V}{\partial y} }$
8. $(2x + y)dx + (x - 3)dy = 0$
9. $y'' + xy = sen y''$
10. $\frac{\partial ^2 T}{\partial x^2} + \frac{\partial ^2 T}{\partial y^2} + \frac{\partial ^2 T}{\partial z^2} = 0$
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