Sr Examen
Ecuación diferencial dx/(5y-1)=(2-3x)dy
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Solución
Ha introducido
[src]
1 d d ----------- = 2*--(y(x)) - 3*x*--(y(x)) -1 + 5*y(x) dx dx
$$\frac{1}{5 y{\left(x \right)} - 1} = - 3 x \frac{d}{d x} y{\left(x \right)} + 2 \frac{d}{d x} y{\left(x \right)}$$
1/(5*y - 1) = -3*x*y' + 2*y'
Respuesta
[src]
_______________________
1 \/ C1 - 30*log(-2 + 3*x)
y(x) = - - -------------------------
5 15
$$y{\left(x \right)} = \frac{1}{5} - \frac{\sqrt{C_{1} - 30 \log{\left(3 x - 2 \right)}}}{15}$$
_______________________
1 \/ C1 - 30*log(-2 + 3*x)
y(x) = - + -------------------------
5 15
$$y{\left(x \right)} = \frac{\sqrt{C_{1} - 30 \log{\left(3 x - 2 \right)}}}{15} + \frac{1}{5}$$
Gráfico para el problema de Cauchy
Clasificación
separable
1st exact
1st power series
lie group
separable Integral
1st exact Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 0.777623301977922)
(-5.555555555555555, 0.8118547916453306)
(-3.333333333333333, 0.8582381457525929)
(-1.1111111111111107, 0.9358000988647005)
(1.1111111111111107, 2.301371784033952)
(3.333333333333334, 3.1933833808213398e-248)
(5.555555555555557, 9.59052908001256e-43)
(7.777777777777779, 8.38824356735596e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)