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