Sr Examen
Ecuación diferencial (5(x^4)*(y^3)+x)dx+(3(x^5)*(y^2)-sin(y))dy=0
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Solución
Ha introducido
[src]
d 4 3 5 2 d
x - --(y(x))*sin(y(x)) + 5*x *y (x) + 3*x *y (x)*--(y(x)) = 0
dx dx
$$3 x^{5} y^{2}{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + 5 x^{4} y^{3}{\left(x \right)} + x - \sin{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} = 0$$
3*x^5*y^2*y' + 5*x^4*y^3 + x - sin(y)*y' = 0
Respuesta
[src]
2 x 5 3 -- + x *y (x) + cos(y(x)) = C1 2
$$x^{5} y^{3}{\left(x \right)} + \frac{x^{2}}{2} + \cos{\left(y{\left(x \right)} \right)} = C_{1}$$
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, 1.139986945450405)
(-5.555555555555555, 1.9970683299720386)
(-3.333333333333333, 4.678517911084944)
(-1.1111111111111107, 29.19386095787272)
(1.1111111111111107, 287.3099681499812)
(3.333333333333334, 3.1933833808213398e-248)
(5.555555555555557, 7.321204927535585e+169)
(7.777777777777779, 8.388243567717305e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)