Show that y''=-(3y^2)/(y^7) if x^4-y^4=1.?

2015-10-31 1:02 am
更新1:

Please show your steps, please.

回答 (2)

2015-10-31 12:04 pm
✔ 最佳答案
Sol
x^4-y^4=1
4x^3-4y^3y’=0
x^3-y^3y’=0
3x^2-y^3y”-3y^2(y’)^2=0
y^3y”=3x^2-3y^2(y’)^2
y^3y”=3x^2-3y^2(x^3/y^3)^2
y^3y”=3x^2-3y^2*(x^6/y^6)
y^7y”=3x^2y^4-3x^4
(y^7/x^2)y”=3y^4-3x^4
(y^7/x^2)y”=-3
y"=-3x^2/y^7
2015-10-31 3:25 am
唔好意思,我計出的是
y" = -(3x^2)/(y^7)


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