Sr Examen
Ecuación diferencial 6*dx*x-6*dy*y=-2*dx*x*y^2+3*dy*x^2*y
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Solución
Ha introducido
[src]
d 2 2 d
6*x - 6*--(y(x))*y(x) = - 2*x*y (x) + 3*x *--(y(x))*y(x)
dx dx
$$6 x - 6 y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} = 3 x^{2} y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} - 2 x y^{2}{\left(x \right)}$$
6*x - 6*y*y' = 3*x^2*y*y' - 2*x*y^2
Respuesta
[src]
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/ 2/3
/ / 2\
y(x) = -\/ -3 + C1*\2 + x /
$$y{\left(x \right)} = - \sqrt{C_{1} \left(x^{2} + 2\right)^{\frac{2}{3}} - 3}$$
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/ 2/3
/ / 2\
y(x) = \/ -3 + C1*\2 + x /
$$y{\left(x \right)} = \sqrt{C_{1} \left(x^{2} + 2\right)^{\frac{2}{3}} - 3}$$
Clasificación
factorable
separable
1st exact
Bernoulli
1st power series
lie group
separable Integral
1st exact Integral
Bernoulli Integral