y+2=3y/x

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Solution for y+2=3y/x equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

y+2 = (3*y)/x // - (3*y)/x

y-((3*y)/x)+2 = 0

y-3*x^-1*y+2 = 0

-3*x^-1*y = -(y+2) // : -3*y

x^-1 = (1/3)*y^-1*(y+2)

-1 < 0

1/(x^1) = (1/3)*y^-1*(y+2) // * x^1

1 = (1/3)*x^1*y^-1*(y+2) // : (1/3)*y^-1*(y+2)

3*y*(y+2)^-1 = x^1

x = 3*y*(y+2)^-1

x = 3*y*(y+2)^-1

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