Ecuación diferencial (dy/dx)3-2xy*dy/dx+4y^2=0

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

Ha introducido [src]

  d             2          d                
3*--(y(x)) + 4*y (x) - 2*x*--(y(x))*y(x) = 0
  dx                       dx

$$- 2 x y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + 4 y^{2}{\left(x \right)} + 3 \frac{d}{d x} y{\left(x \right)} = 0$$

-2*x*y*y' + 4*y^2 + 3*y' = 0

Gráfico para el problema de Cauchy

Clasificación

factorable

1st exact

separable reduced

1st power series

lie group

1st exact Integral

separable reduced Integral

Respuesta numérica [src]

(x, y):

(-10.0, 0.75)

(-7.777777777777778, 0.5064263398220986)

(-5.555555555555555, 0.32968927444608065)

(-3.333333333333333, 0.21284854166304265)

(-1.1111111111111107, 0.14177926529005677)

(1.1111111111111107, 0.09991330504662914)

(3.333333333333334, 0.07464442981131889)

(5.555555555555557, 0.05857244913871943)

(7.777777777777779, 0.04775802761000472)

(10.0, 0.04010699558225802)

(10.0, 0.04010699558225802)