Sr Examen
Ecuación diferencial x(1-y^2)dx+y(1-x^2)dy=0
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Solución
Ha introducido
[src]
d 2 2 d
x + --(y(x))*y(x) - x*y (x) - x *--(y(x))*y(x) = 0
dx dx
$$- x^{2} y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} - x y^{2}{\left(x \right)} + x + y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} = 0$$
-x^2*y*y' - x*y^2 + x + y*y' = 0
Respuesta
[src]
_________
/ 2
/ C1 + x
y(x) = - / -------
/ 2
\/ -1 + x
$$y{\left(x \right)} = - \sqrt{\frac{C_{1} + x^{2}}{x^{2} - 1}}$$
_________
/ 2
/ C1 + x
y(x) = / -------
/ 2
\/ -1 + x
$$y{\left(x \right)} = \sqrt{\frac{C_{1} + x^{2}}{x^{2} - 1}}$$
Clasificación
factorable
separable
1st exact
Bernoulli
1st power series
lie group
separable Integral
1st exact Integral
Bernoulli Integral