(9u^7-15u^3)/(3u^3)

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Solution for (9u^7-15u^3)/(3u^3) equation: 


D( u )

3*u^3 = 0

3*u^3 = 0

3*u^3 = 0

3*u^3 = 0 // : 3

u^3 = 0

u = 0

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

(9*u^7-(15*u^3))/(3*u^3) = 0

(9*u^7-15*u^3)/(3*u^3) = 0

9*u^7-15*u^3 = 0

3*u^3*(3*u^4-5) = 0

3*u^4 = 5 // : 3

u^4 = 5/3

u^4 = 5/3 // ^ 1/4

abs(u) = (5/3)^(1/4)

u = (5/3)^(1/4) or u = -(5/3)^(1/4)

3*u^3*(u-(5/3)^(1/4))*(u+(5/3)^(1/4)) = 0

(u-(5/3)^(1/4))*(u+(5/3)^(1/4)) = 0

( u+(5/3)^(1/4) )

u+(5/3)^(1/4) = 0 // - (5/3)^(1/4)

u = -(5/3)^(1/4)

( u-(5/3)^(1/4) )

u-(5/3)^(1/4) = 0 // + (5/3)^(1/4)

u = (5/3)^(1/4)

u in { -(5/3)^(1/4), (5/3)^(1/4) }

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