Writing an equation in terms of specific variables where relationship is known.

So I am trying to specify what an equation is written in terms of, below is a simple example i have concoted.

Since i know r's relationship to t I could write F in terms of r or t. Is there a way of asking matlab to write a function in terms of specific variables? In this case I would want F in terms of m,a,b and r not t for example.

clear all

syms m a b t

r = a*b*t^2

r = 

F = m * diff(r,t)

F = 

Answer 1

[Torsten]

syms m a b t r
t_eq = solve(r - a*b*t^2==0,t);
r = a*b*t^2;
F = m * diff(r,t);
F = subs(F,t,t_eq)

[Jack]

Thank you for this solution it work. Just out of curiousity however, if there was a more complex situation with even more variables, is there a way to specifically request MATLAB what variables I want my equation to be in terms of?

[Torsten]

I doubt it.

I think you will have to solve for the variable(s) you don't want the equation to be in terms of and afterwards substitute the corresponding expressions (only depending on the variables you want the equation to be in terms of) into the equation.

But someone might correct me here.

[Jack]

Thank you very much kind internet person