Differential Equation Approach to solving First Order Circuits

1. Jun 4, 2007

We are doing transient circuit analysis in one of my engineering courses.
There are two ways of solving these types of circuits:

1. The step by step approach

2. The differential equation approach.

The step by step method is well documented in our textbook, but the differential equation approach is not.

Does anyone know of a website that describes how to use the differential equation approach for solving first order transient circuits?

2. Jun 8, 2007

chaoseverlasting

Dunno the website, but you use Kirchoff's laws (Potential drop across a loop =0) to form a linear DE which you solve.

3. Jun 19, 2007

DefaultName

For the differential approach, use KVL and KCL. Write down the device rules (i(t) = C dv(t)/dt), etc... combine them by solving for the appropriate variables.

4. Jun 19, 2007

euler_fan

I am curious, is the step by step approach the Laplace transform method, if not, is there any reason you could not use said method. I prefer to use the Laplace transform myself.

5. Jun 30, 2007

chaoseverlasting

Err... I dont know the Laplace transform approach, just the DE one. Its pretty simple. You just write out the equations for KVL and KCL, and then write current as dq/dt or emf as L di/dt to get a Linear DE and solve that.