Ecuación diferencial y'=9-3x-3y+xy

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Ha introducido [src]

d                                   
--(y(x)) = 9 - 3*x - 3*y(x) + x*y(x)
dx

$$\frac{d}{d x} y{\left(x \right)} = x y{\left(x \right)} - 3 x - 3 y{\left(x \right)} + 9$$

y' = x*y - 3*x - 3*y + 9

Respuesta [src]

                 /     x\
               x*|-3 + -|
                 \     2/
y(x) = 3 + C1*e

$$y{\left(x \right)} = C_{1} e^{x \left(\frac{x}{2} - 3\right)} + 3$$

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