Differential Equation for Electronic Circuit

[Agnostic]

Am I starting this correctly: (look at pic)

 

[berkeman]

Why is it i1+i2 in the first loop equation and i2-i1 in the second? Both currents are defined clockwise in your circuit? Also, you need to standardize on whether you are adding up voltage drops or rises. You have a positive number for both Vo and i1R, even though one is a voltage rise, and the other is a voltage drop...

 

[Agnostic]

The only problem is the plus sign in the first equation, it should be a minus. Thanks

 

[berkeman]

You mean the only problem left is that first + sign? Have you fixed it since that new.PNG?

 

[Agnostic]

There we go.

 

[berkeman]

Wherever you go, there you are. Quiz question -- what movie is that from?

 

[SGT]

When analyzing circuits with capacitors it is best to use voltages as independent variables, to get a differential instead of an integral equation.