Sr Examen
Ecuación diferencial dx*(-x^2*y^5+y)-(x^3*y^4+3*(x/5))dy=0
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Solución
Ha introducido
[src]
d
3*x*--(y(x))
2 5 dx 3 4 d
- x *y (x) - ------------ - x *y (x)*--(y(x)) + y(x) = 0
5 dx
$$- x^{3} y^{4}{\left(x \right)} \frac{d}{d x} y{\left(x \right)} - x^{2} y^{5}{\left(x \right)} - \frac{3 x \frac{d}{d x} y{\left(x \right)}}{5} + y{\left(x \right)} = 0$$
-x^3*y^4*y' - x^2*y^5 - 3*x*y'/5 + y = 0
Respuesta
[src]
/ 2 4 \ / ___ \
8*log\-13 + 5*x *y (x)/ 6*log\\/ x *y(x)/
-log(x) - ----------------------- + ----------------- = C1
13 13
$$- \log{\left(x \right)} + \frac{6 \log{\left(\sqrt{x} y{\left(x \right)} \right)}}{13} - \frac{8 \log{\left(5 x^{2} y^{4}{\left(x \right)} - 13 \right)}}{13} = C_{1}$$
Gráfico para el problema de Cauchy
Clasificación
factorable
separable reduced
lie group
separable reduced Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 0.9546575155069539)
(-5.555555555555555, 1.326070434779104)
(-3.333333333333333, 2.198216175169064)
(-1.1111111111111107, 6.576523777326224)
(1.1111111111111107, 9927053196.501629)
(3.333333333333334, 3.1933833808213433e-248)
(5.555555555555557, 7.566503212566957e-67)
(7.777777777777779, 8.388243571828975e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)