Laplace help on a DC transient RC circuit

[willow16v]

Laplace help on a DC transient RC circuit ? PLEASE

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I HAVE A RC CIRCUIT WHERE R1=100Kohm and R2=1Mohm and C=2.1micro farads with a Vin =10V,


In order to calculate the voltage through the capacitor I deduce the following formula,

Vc(s)=V/S {(((R2×1/Cs)/(R2+1/Cs)))/(((R2×1/Cs)/(R2+1/Cs)+R1) )}

I then need to produce a laplace transform of exponential growth thus, I believe to be

Vc(s)=a/s(s+a)


However I have spent a week on this now and cannot get a soloution. I would be grateful of any help or any point to know where I am going wrong. I have pages and pages of transposition but they all lead to every answer but the one I require. Many thanks



Please see attachement

 

[djeitnstine]

Why don't you show the differential equation you arrived at.

Try using Latex to make your work clearer. Before you post reply, click "Go advanced" and then click the \Sigma in the top right of the panel above the text.