MATLAB Calculation and Equation Simplification for Circuit Analysis

[mtnkh]

Hi,

The equation regarding a circuit is shown in the attached picture. I have the parameters Ci, Cc(t), Vd, and Ri. I want to calculate a(t) in MATLAB, and I have two questions:
How can I calculate it in MATLAB? I tried writing some code, but it failed.
Is there any way to simplify this equation? I mean, is there any estimation or technique that can be used? I have no knowledge regarding the approximation of equations. If there is any tutorial or hint available, it would be greatly appreciated.

Thanks.

 

[barry]

What a mess!

MATLAB can do symbolic differentiation and integration if you have the symbolic math toolbox.

Are you looking for a general/symbolic solution, or do you have actual data? You could also use numerical methods.

 

[danadakk]

You can do a lot at command line in Matlab.

Regards, Dana.

 

[mtnkh]

What a mess!

MATLAB can do symbolic differentiation and integration if you have the symbolic math toolbox.

Are you looking for a general/symbolic solution, or do you have actual data? You could also use numerical methods.

Yes, I have the Symbolic Math Toolbox. I also have actual data. Ci and Ri, Vd are constants, while Cc(t) is a time-varying signal. In other words, it is not a known function; it represents a time-varying capacitor that randomly varies over time but I have this signal in MATLAB. Due to this time-varying capacitor, I am currently facing confusion regarding the calculation of a(t) in MATLAB.

 

[FvM]

It would be helpful to know the context, in other words the related circuit.

To solve the equation, actual Cc(t) function must be known. Also parameter u is unknown.