Sr Examen
Ecuación diferencial (6xy-y^3)dx+(4y+3x^(2)-3xy^2)dy=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
3 2 d d 2 d
- y (x) + 3*x *--(y(x)) + 4*--(y(x))*y(x) + 6*x*y(x) - 3*x*y (x)*--(y(x)) = 0
dx dx dx
$$3 x^{2} \frac{d}{d x} y{\left(x \right)} - 3 x y^{2}{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + 6 x y{\left(x \right)} - y^{3}{\left(x \right)} + 4 y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} = 0$$
3*x^2*y' - 3*x*y^2*y' + 6*x*y - y^3 + 4*y*y' = 0
Gráfico para el problema de Cauchy
Clasificación
1st exact
1st power series
lie group
1st exact Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 1.1828872551327045)
(-5.555555555555555, 1.9560341493278874)
(-3.333333333333333, 3.1590232425845537)
(-1.1111111111111107, 5.2067398647270675)
(1.1111111111111107, 18.580346051216036)
(3.333333333333334, 3.1933833808213433e-248)
(5.555555555555557, 4.958783545387881e-62)
(7.777777777777779, 8.388243567718056e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)