Sr Examen
Ecuación diferencial (2x-4y+6)dx-(4x+2y-3)dy=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
d d d
6 - 4*y(x) + 2*x + 3*--(y(x)) - 4*x*--(y(x)) - 2*--(y(x))*y(x) = 0
dx dx dx
$$- 4 x \frac{d}{d x} y{\left(x \right)} + 2 x - 2 y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} - 4 y{\left(x \right)} + 3 \frac{d}{d x} y{\left(x \right)} + 6 = 0$$
-4*x*y' + 2*x - 2*y*y' - 4*y + 3*y' + 6 = 0
Respuesta
[src]
___________
3 / 2
y(x) = - - \/ C1 + 5*x - 2*x
2
$$y{\left(x \right)} = - 2 x - \sqrt{C_{1} + 5 x^{2}} + \frac{3}{2}$$
___________
3 / 2
y(x) = - + \/ C1 + 5*x - 2*x
2
$$y{\left(x \right)} = - 2 x + \sqrt{C_{1} + 5 x^{2}} + \frac{3}{2}$$
Gráfico para el problema de Cauchy
Clasificación
factorable
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, 1.7901818881824831)
(-5.555555555555555, 3.3978881908073073)
(-3.333333333333333, 8.953189297664345)
(-1.1111111111111107, 2.78363573e-315)
(1.1111111111111107, 6.971028255580836e+173)
(3.333333333333334, 3.1933833808213398e-248)
(5.555555555555557, 5.28980234245167e+174)
(7.777777777777779, 8.388243567338493e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)