Sr Examen
Ecuación diferencial (3y^2+10x)dx+(6xy−10y)dy=0
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Solución
Ha introducido
[src]
2 d d
3*y (x) + 10*x - 10*--(y(x))*y(x) + 6*x*--(y(x))*y(x) = 0
dx dx
$$6 x y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + 10 x + 3 y^{2}{\left(x \right)} - 10 y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} = 0$$
6*x*y*y' + 10*x + 3*y^2 - 10*y*y' = 0
Respuesta
[src]
___________
/ 2
/ C1 - 5*x
y(x) = - / ---------
\/ -5 + 3*x
$$y{\left(x \right)} = - \sqrt{\frac{C_{1} - 5 x^{2}}{3 x - 5}}$$
___________
/ 2
/ C1 - 5*x
y(x) = / ---------
\/ -5 + 3*x
$$y{\left(x \right)} = \sqrt{\frac{C_{1} - 5 x^{2}}{3 x - 5}}$$
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, 9.43392058124249e-10)
(-5.555555555555555, 2.17e-322)
(-3.333333333333333, nan)
(-1.1111111111111107, 2.78363573e-315)
(1.1111111111111107, 8.427456047434801e+197)
(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)