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I need to solve the differential equations of a RC circuit given a voltage and a current pulse. I have to get this responses:

http://i.imagehost.org/view/0340/Respuesta1 [Broken]

I'm using matlab, with runge kutta. I've been solving the equations separately changing the initial conditions and the value of current and voltage, but i want to know if there is a way to get the response solving the differential equations only once??

By the way, the differential equations i'm trying to solve are

[tex]\frac{dV}{dt}=\frac{1}{C}(i(t)-\frac{V}{R})[/tex]

and

[tex]I = \frac{dQ}{dt}=\frac{1}{R}(V-\frac{Q(t)}{C}) [/tex]

How should i solve this equations in order to get the responses showed in the pictures???

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# RC circuit differential equations

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