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

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Ha introducido [src]

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

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

2*x*y' - y*exp(y)*y' + y = 0

Respuesta [src]

   2      /      2            \  y(x)     
x*y (x) + \-2 - y (x) + 2*y(x)/*e     = C1

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

Clasificación

1st exact

1st power series

lie group

1st exact Integral