Ecuación diferencial (x-y^2)dx+2xydy=0

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Ha introducido [src]

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

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

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

Respuesta [src]

          _________________
y(x) = -\/ x*(C1 - log(x))

$$y{\left(x \right)} = - \sqrt{x \left(C_{1} - \log{\left(x \right)}\right)}$$

         _________________
y(x) = \/ x*(C1 - log(x))

$$y{\left(x \right)} = \sqrt{x \left(C_{1} - \log{\left(x \right)}\right)}$$

Clasificación

1st exact

almost linear

lie group

1st exact Integral

almost linear Integral