Ecuación diferencial y'=xy+x-2y-2

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Ha introducido [src]

d                                  
--(y(x)) = -2 + x - 2*y(x) + x*y(x)
dx

$$\frac{d}{d x} y{\left(x \right)} = x y{\left(x \right)} + x - 2 y{\left(x \right)} - 2$$

y' = x*y + x - 2*y - 2

Respuesta [src]

                  /     x\
                x*|-2 + -|
                  \     2/
y(x) = -1 + C1*e

$$y{\left(x \right)} = C_{1} e^{x \left(\frac{x}{2} - 2\right)} - 1$$

Clasificación

separable

1st exact

1st linear

Bernoulli

almost linear

1st power series

lie group

separable Integral

1st exact Integral

1st linear Integral

Bernoulli Integral

almost linear Integral