Sr Examen
Ecuación diferencial dx*(6*x^5*y^3+5*x^4*y^2+4*x^3*y^3)+dy*(3*x^6*y^2+2*x^5*y+3*x^4*y^2)=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
⌨
Solución
Ha introducido
[src]
3 3 4 2 5 3 5 d 4 2 d 6 2 d
4*x *y (x) + 5*x *y (x) + 6*x *y (x) + 2*x *--(y(x))*y(x) + 3*x *y (x)*--(y(x)) + 3*x *y (x)*--(y(x)) = 0
dx dx dx
$$3 x^{6} y^{2}{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + 6 x^{5} y^{3}{\left(x \right)} + 2 x^{5} y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + 3 x^{4} y^{2}{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + 5 x^{4} y^{2}{\left(x \right)} + 4 x^{3} y^{3}{\left(x \right)} = 0$$
3*x^6*y^2*y' + 6*x^5*y^3 + 2*x^5*y*y' + 3*x^4*y^2*y' + 5*x^4*y^2 + 4*x^3*y^3 = 0
Gráfico para el problema de Cauchy
Clasificación
factorable
1st exact
lie group
1st exact Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 1.2238097938611165)
(-5.555555555555555, 2.360707952596619)
(-3.333333333333333, 6.370402706008432)
(-1.1111111111111107, 47.87513011074692)
(1.1111111111111107, 2832749481660.4604)
(3.333333333333334, 3.1933833808213398e-248)
(5.555555555555557, 6.600395962365997e-42)
(7.777777777777779, 8.388243567719236e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)