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

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Ha introducido [src]

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

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

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

Gráfico para el problema de Cauchy

Clasificación

factorable

1st homogeneous coeff best

1st homogeneous coeff subs indep div dep

1st homogeneous coeff subs dep div indep

lie group

1st homogeneous coeff subs indep div dep Integral

1st homogeneous coeff subs dep div indep Integral

Respuesta numérica [src]

(x, y):

(-10.0, 0.75)

(-7.777777777777778, 1.1085247322213941e-09)

(-5.555555555555555, 2.17e-322)

(-3.333333333333333, nan)

(-1.1111111111111107, 2.78363573e-315)

(1.1111111111111107, 8.427456047434801e+197)

(3.333333333333334, 3.1933833808213433e-248)

(5.555555555555557, 2.358677675495031e+184)

(7.777777777777779, 8.388243567716936e+296)

(10.0, 3.861029683e-315)

(10.0, 3.861029683e-315)