MATLAB: Find unknown from the equation with given value

Question

I need to calculate the unknown in the equation, how could i do so using matlab?

this is the equation: c=(1/(tm=60))*(tm*exp(-t/tm)-60*exp(-t/60))

value c and t will be provided

how could find the value tm using matlab?

Answer 1

Using similar ideas to the above:

[...] %define your values for c and t first
syms tm
double( solve( c - ( (1/(tm-60))*(tm*exp(-t/tm)-60*exp(-t/60)) ), tm ) )

or if you have a bunch of these to solve,

syms c t tm
tmfun = matlabFunction( solve( c - ( (1/(tm-60))*(tm*exp(-t/tm)-60*exp(-t/60)) ), tm ), 'vars', {c, t} );

then after that,

tmfun( current_c, current_t )