Sr Examen
Ecuación diferencial dx*(x^2*y^6-y^9+y^4)-dy*(4*x^3*y^5+x*y^8+4*x*y^3)=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
⌨
Solución
Ha introducido
[src]
4 9 2 6 8 d 3 d 3 5 d
y (x) - y (x) + x *y (x) - x*y (x)*--(y(x)) - 4*x*y (x)*--(y(x)) - 4*x *y (x)*--(y(x)) = 0
dx dx dx
$$- 4 x^{3} y^{5}{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + x^{2} y^{6}{\left(x \right)} - x y^{8}{\left(x \right)} \frac{d}{d x} y{\left(x \right)} - 4 x y^{3}{\left(x \right)} \frac{d}{d x} y{\left(x \right)} - y^{9}{\left(x \right)} + y^{4}{\left(x \right)} = 0$$
-4*x^3*y^5*y' + x^2*y^6 - x*y^8*y' - 4*x*y^3*y' - y^9 + y^4 = 0
Gráfico para el problema de Cauchy
Clasificación
factorable
lie group
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 0.7045956156840607)
(-5.555555555555555, 0.6482152880665378)
(-3.333333333333333, 0.5714692872598306)
(-1.1111111111111107, 0.43645954885856053)
(1.1111111111111107, 0.0006550909231614547)
(3.333333333333334, 3.1933833808213433e-248)
(5.555555555555557, 2.125757255287192e+160)
(7.777777777777779, 8.388243567354477e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)