Ecuación diferencial xtgydx-(x^2-2)dy=0

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Ha introducido [src]

  d                         2 d           
2*--(y(x)) + x*tan(y(x)) - x *--(y(x)) = 0
  dx                          dx

$$- x^{2} \frac{d}{d x} y{\left(x \right)} + x \tan{\left(y{\left(x \right)} \right)} + 2 \frac{d}{d x} y{\left(x \right)} = 0$$

-x^2*y' + x*tan(y) + 2*y' = 0

Respuesta [src]

                /      _________\
                |     /       2 |
y(x) = pi - asin\C1*\/  -2 + x  /

$$y{\left(x \right)} = \pi - \operatorname{asin}{\left(C_{1} \sqrt{x^{2} - 2} \right)}$$

           /      _________\
           |     /       2 |
y(x) = asin\C1*\/  -2 + x  /

$$y{\left(x \right)} = \operatorname{asin}{\left(C_{1} \sqrt{x^{2} - 2} \right)}$$

Clasificación

factorable

separable

1st exact

1st power series

lie group

separable Integral

1st exact Integral