Sr Examen
Ecuación diferencial (6x+4y)dx+(4x+4y-1)dy=0
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Solución
Ha introducido
[src]
d d d - --(y(x)) + 4*y(x) + 6*x + 4*x*--(y(x)) + 4*--(y(x))*y(x) = 0 dx dx dx
$$4 x \frac{d}{d x} y{\left(x \right)} + 6 x + 4 y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + 4 y{\left(x \right)} - \frac{d}{d x} y{\left(x \right)} = 0$$
4*x*y' + 6*x + 4*y*y' + 4*y - y' = 0
Respuesta
[src]
_________________
/ 2
1 \/ C1 - 8*x - 8*x
y(x) = - - x - --------------------
4 4
$$y{\left(x \right)} = - x - \frac{\sqrt{C_{1} - 8 x^{2} - 8 x}}{4} + \frac{1}{4}$$
_________________
/ 2
1 \/ C1 - 8*x - 8*x
y(x) = - - x + --------------------
4 4
$$y{\left(x \right)} = - x + \frac{\sqrt{C_{1} - 8 x^{2} - 8 x}}{4} + \frac{1}{4}$$
Gráfico para el problema de Cauchy
Clasificación
1st exact
linear coefficients
1st power series
lie group
1st exact Integral
linear coefficients Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, -2.4073539826722885)
(-5.555555555555555, -5.266737740604307)
(-3.333333333333333, -7.877954198281638)
(-1.1111111111111107, -10.26593807709302)
(1.1111111111111107, -12.440280446466804)
(3.333333333333334, -14.398269402156442)
(5.555555555555557, -16.124063701834338)
(7.777777777777779, -17.58333255278162)
(10.0, -18.708234655686226)
(10.0, -18.708234655686226)