f(t)^3-a*f(t)=b*t

[Oded]

Hello,
In my studies (Master's degree), i need to draw a graph of the
function f(t) where all i have is the equation above.
This equation came from studying electron motion in static magnetic
field and circulary plane wave, at resonance.
f(t) describes the energy of the electron.
Well, it looks like a very easy problem, but actually I don't think I
ever studied about this behaviour of functions.
Any help would be appreciated!

 

[stapel]

...I need to draw a graph of the function f(t)^3 - a*f(t) = b*t where all I have is the equation....

This equation came from studying electron motion in static magnetic field and circulary plane wave, at resonance; f(t) describes the energy of the electron.

Well, it looks like a very easy problem, but actually I don't think I ever studied about this behaviour of functions. Any help would be appreciated!

At another instance of this question, the following was provided:

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Treat t as the dependent variable, then you're simply graphing a polynomial of degree 3 that can easily be factorized:

. . . . .f(t)³ - a*f(t) = f(t)(f(t)² - a)

Was "circulary" a typing error?

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The original poster confirmed that "circulary" was meant to be "circularlly".