2/3u-1-1/u

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Solution for 2/3u-1-1/u equation:


D( u )

u = 0

u = 0

u = 0

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

(2/3)*u-(1/u)-1 = 0

(2/3)*u-u^-1-1 = 0

2/3*u^1-1*u^-1-1*u^0 = 0

(2/3*u^2-1*u^1-1*u^0)/(u^1) = 0 // * u^2

u^1*(2/3*u^2-1*u^1-1*u^0) = 0

u^1

(2/3)*u^2-u-1 = 0

(2/3)*u^2-u-1 = 0

DELTA = (-1)^2-(-1*4*(2/3))

DELTA = 11/3

DELTA > 0

u = ((11/3)^(1/2)+1)/(2*(2/3)) or u = (1-(11/3)^(1/2))/(2*(2/3))

u = 3/4*((11/3)^(1/2)+1) or u = 3/4*(1-(11/3)^(1/2))

u in { 3/4*(1-(11/3)^(1/2)), 3/4*((11/3)^(1/2)+1)}

u in { 3/4*(1-(11/3)^(1/2)), 3/4*((11/3)^(1/2)+1) }

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