Sr Examen
Ecuación diferencial (y+2)dx-(2x+y-4)dy=0
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Solución
Ha introducido
[src]
d d d
2 + 4*--(y(x)) - --(y(x))*y(x) - 2*x*--(y(x)) + y(x) = 0
dx dx dx
$$- 2 x \frac{d}{d x} y{\left(x \right)} - y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + y{\left(x \right)} + 4 \frac{d}{d x} y{\left(x \right)} + 2 = 0$$
-2*x*y' - y*y' + y + 4*y' + 2 = 0
Respuesta
[src]
_____________________
C1 \/ C1*(-12 + C1 + 4*x)
y(x) = -2 + -- - -----------------------
2 2
$$y{\left(x \right)} = \frac{C_{1}}{2} - \frac{\sqrt{C_{1} \left(C_{1} + 4 x - 12\right)}}{2} - 2$$
_____________________
C1 \/ C1*(-12 + C1 + 4*x)
y(x) = -2 + -- + -----------------------
2 2
$$y{\left(x \right)} = \frac{C_{1}}{2} + \frac{\sqrt{C_{1} \left(C_{1} + 4 x - 12\right)}}{2} - 2$$
Clasificación
factorable
1st exact
linear coefficients
1st power series
lie group
1st exact Integral
linear coefficients Integral