Equation Interpretation In MATLAB

Question

would like to ask for help on how to interpret this equation(Differential) in Matlab Code

dC/dt=PC+K2*I-μc*C 

I have looked at many tutorials on to solve differential equations in matlab and none have been clear to me, according to what i have looked up You can Liken dC/dT to dy/dx ie.

dsolve('Dy = PC+K2*I-μc*C','x')

In which - PC,K2,I,μc,C. are all variables

Q1. Am i on the right path?

Q2. Is it possible for me to view the steps(equation) carried out in order to get the answer and how?

Thanks.

Answer 1

To use dsolve on your system start by looking at some examples in the documentation

For your system a solution would be

syms PC K2 muc I C(t)
dsolve(diff(C) == PC + K2*I - muc*C)

Answer 2

I don't think you can do that in Matlab (it's strengths are numeric calculations and not symbolic).

If i were to give a tip i would head over to wolframalpha (see the examples). It can show step by step solutions to simple equations. I suppose you would find similar features in Mathematica.