Sr Examen
Ecuación diferencial (y-2)dx-(x-y-1)dy=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
d d d
-2 + --(y(x))*y(x) - x*--(y(x)) + --(y(x)) + y(x) = 0
dx dx dx
$$- x \frac{d}{d x} y{\left(x \right)} + y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + y{\left(x \right)} + \frac{d}{d x} y{\left(x \right)} - 2 = 0$$
-x*y' + y*y' + y + y' - 2 = 0
Respuesta
[src]
/ -C1\
C1 + W\(3 - x)*e /
y(x) = 2 + e
$$y{\left(x \right)} = e^{C_{1} + W\left(\left(3 - x\right) e^{- C_{1}}\right)} + 2$$
Clasificación
factorable
1st exact
linear coefficients
1st power series
lie group
1st exact Integral
linear coefficients Integral