Sr Examen
Ecuación diferencial dx*(3*x^2*y^2+x+cos(y))+dy*(2*x^3*y-x*sin(y)+y)=0
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Solución
Ha introducido
[src]
d 2 2 d 3 d
x + --(y(x))*y(x) + 3*x *y (x) - x*--(y(x))*sin(y(x)) + 2*x *--(y(x))*y(x) + cos(y(x)) = 0
dx dx dx
$$2 x^{3} y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + 3 x^{2} y^{2}{\left(x \right)} - x \sin{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} + x + y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + \cos{\left(y{\left(x \right)} \right)} = 0$$
2*x^3*y*y' + 3*x^2*y^2 - x*sin(y)*y' + x + y*y' + cos(y) = 0
Respuesta
[src]
2 2 x y (x) 3 2 -- + ----- + x*cos(y(x)) + x *y (x) = C1 2 2
$$x^{3} y^{2}{\left(x \right)} + \frac{x^{2}}{2} + x \cos{\left(y{\left(x \right)} \right)} + \frac{y^{2}{\left(x \right)}}{2} = C_{1}$$
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, 1.0779153468789708)
(-5.555555555555555, 1.7707374538716691)
(-3.333333333333333, 3.8004766047910836)
(-1.1111111111111107, 24.407553541352755)
(1.1111111111111107, 145.76895969409168)
(3.333333333333334, 3.1933833808213398e-248)
(5.555555555555557, 4.224957188230802e-62)
(7.777777777777779, 8.388243566958191e+296)
(10.0, 7.490368287468908e+247)
(10.0, 7.490368287468908e+247)