Sr Examen
Ecuación diferencial y'=2xy/3x^2-y^2
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Solución
Ha introducido
[src]
3 d 2 2*x *y(x) --(y(x)) = - y (x) + --------- dx 3
$$\frac{d}{d x} y{\left(x \right)} = \frac{2 x^{3} y{\left(x \right)}}{3} - y^{2}{\left(x \right)}$$
y' = 2*x^3*y/3 - y^2
Respuesta
[src]
4
x pi*I
-- + ----
6 4
4*e
y(x) = ------------------------------------
/ 4 pi*I\
4 ___ | x *e |
C1 + \/ 6 *lowergamma|1/4, --------|
\ 6 /
$$y{\left(x \right)} = \frac{4 e^{\frac{x^{4}}{6} + \frac{i \pi}{4}}}{C_{1} + \sqrt[4]{6} \gamma\left(\frac{1}{4}, \frac{x^{4} e^{i \pi}}{6}\right)}$$
Gráfico para el problema de Cauchy
Clasificación
Bernoulli
1st power series
lie group
Bernoulli Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, -5.777247909003796e-14)
(-5.555555555555555, -2.6608235000303887e-14)
(-3.333333333333333, 4.8238429208514974e-15)
(-1.1111111111111107, 3.766573563544422e-14)
(1.1111111111111107, 7.050762835003693e-14)
(3.333333333333334, 7.268976357616193e-14)
(5.555555555555557, 6.94237214509723e-14)
(7.777777777777779, 6.615767932578268e-14)
(10.0, 6.289163720059307e-14)
(10.0, 6.289163720059307e-14)