y-7/y3

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Solution for y-7/y3 equation: 


D( y )

y^3 = 0

y^3 = 0

y^3 = 0

1*y^3 = 0 // : 1

y^3 = 0

y = 0

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

y-(7/(y^3)) = 0

y-7*y^-3 = 0

y-7*y^-3 = 0

y*(1-7*y^-4) = 0

-7*y^-4 = -1 // : -7

y^-4 = 1/7

-4 < 0

1/(y^4) = 1/7 // * y^4

1 = 1/7*y^4 // : 1/7

7 = y^4

y^4 = 7 // ^ 1/4

abs(y) = 7^(1/4)

y = 7^(1/4) or y = -7^(1/4)

y = 0

y = 0

y in { 0} 

y in { 7^(1/4), -7^(1/4) }

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