How do you get x as a function of y for the equation x^4+cx=cy, where c is a constant?
How do you get x as a function of y for the equation x^4+cx=cy, where c is a constant?
I believe you just divide both sides by c to get y=(x^4+cx)/c.
No, that's y as a function of x. You subtract cx from both sides, then take the 4th root (or raise to the 1/4 power).
ok, I'm stupid and wasn't paying attention disregard my solution too.
The same way you do it when c is not a constant?
you won't. y^4 + cy = cx is not a function at all.
Unless you've typed the problem in wrong, my guess is you'll have to use the quartic formula if you want an analytic solution.
http://planetmath.org/encyclopedia/QuarticFormula.html
Good luck.
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