I'm having serious trouble understanding how to solve this problem using the differential equation method ( I MUST use this method). I provided the answer but my solution attempts are not producing the same result.(adsbygoogle = window.adsbygoogle || []).push({});

Here is the problem. http://img102.imageshack.us/img102/4176/testproblembe8.th.jpg [Broken]

The first thing I need to do is find the voltage across the capacitor at time [tex]t_{0^-}[/tex]. By combining the 4k and 6k resistors and using voltage division I see that the voltage across the capacitor for [tex]t_(0^-)= 8V[/tex]

Now I'm confused here, should I also find the current in the circuit for [tex]t_(0^-)[/tex]?

Let me assume that I don't need this parameter and then I go on the analyze this circuit for [tex]t_(0^+)[/tex]

For this circuit all we have is one loop consisting of the capacitor and the 4k and 6k resistors.

Now I can write and equation for the current around this loop:

[tex]C\frac{dV_c(t)}{dt} + 6ki(t)=0[/tex]

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# Homework Help: First order Transient Circuit

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