Ecuación diferencial 2xydx+(x^2-y)dy=0

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Ha introducido [src]

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

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

x^2*y' + 2*x*y - y*y' = 0

Respuesta [src]

               _________
        2     /       4 
y(x) = x  - \/  C1 + x

$$y{\left(x \right)} = x^{2} - \sqrt{C_{1} + x^{4}}$$

               _________
        2     /       4 
y(x) = x  + \/  C1 + x

$$y{\left(x \right)} = x^{2} + \sqrt{C_{1} + x^{4}}$$

Clasificación

1st exact

1st power series

lie group

1st exact Integral