Sr Examen
Ecuación diferencial (2y^2-xye^(xy))dy-(2y+(y^2)(e^(xy)))dx=0
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Solución
Ha introducido
[src]
2 x*y(x) 2 d d x*y(x)
-2*y(x) - y (x)*e + 2*y (x)*--(y(x)) - x*--(y(x))*e *y(x) = 0
dx dx
$$- x y{\left(x \right)} e^{x y{\left(x \right)}} \frac{d}{d x} y{\left(x \right)} - y^{2}{\left(x \right)} e^{x y{\left(x \right)}} + 2 y^{2}{\left(x \right)} \frac{d}{d x} y{\left(x \right)} - 2 y{\left(x \right)} = 0$$
-x*y*exp(x*y)*y' - y^2*exp(x*y) + 2*y^2*y' - 2*y = 0
Respuesta
[src]
y(x) = 0
$$y{\left(x \right)} = 0$$
2 x*y(x) - y (x) + 2*x + e = C1
$$2 x - y^{2}{\left(x \right)} + e^{x y{\left(x \right)}} = C_{1}$$
Gráfico para el problema de Cauchy
Clasificación
factorable
1st exact
1st power series
lie group
1st exact Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 2.237496729856518)
(-5.555555555555555, 3.07422126147358)
(-3.333333333333333, 3.7276379980670327)
(-1.1111111111111107, 4.283491607756813)
(1.1111111111111107, 7.205436067510869)
(3.333333333333334, 6.90229636489576e-310)
(5.555555555555557, 6.90229636405466e-310)
(7.777777777777779, 6.9025146312563e-310)
(10.0, 6.90229636520247e-310)
(10.0, 6.90229636520247e-310)