Recent content by wilsondd

  1. W

    Differentiation with different variables

    \frac{d}{dV} is the derivative with respect to the function V(t). This is a calculus of variations problem, and the functional is \int_0^{t_1}{\mathcal{M}}dt, \mathcal{M} = \int_0^t{V(\tau)}d\tau + \text{other stuff...} What I'm trying to do, is find the equation for...
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    Differentiation with different variables

    Thinking more about the problem, if it is legal to bring the derivative inside the integral, then the answer would just be t. This seems odd in the context of the larger problem, though. Can anybody comment on if this is correct or not. Thanks.
  3. W

    Differentiation with different variables

    Yes, I agree it is weird, but it is part of a calculus of variations problem, and is not a typo or anything.
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    Differentiation with different variables

    Homework Statement I'm trying to take the derivative of the following integral \frac{d}{d V} \int_0^t{V(\tau)}d\tau Homework Equations FTC will probably be a part of it. The Attempt at a Solution I always get confused when I'm taking the derivative of an integral. I know the answer is...
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    Engineering Circuit Voltage Dynamic Equations

    Yes, but what if the voltage source is not constant?
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    Engineering Circuit Voltage Dynamic Equations

    Homework Statement As part of a larger problem, I'm trying to understand the dynamic equations of the attached circuit with two capacitors and one resistor and a voltage source. When I use Kirchoff's Current Law at nodes V0 and V1, I get the following equations. Homework Equations See...
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    Dynamic Equations of a Circuit?

    Hello, As part of a larger problem, I'm trying to understand the dynamic equations of the attached circuit with two capacitors and one resistor and a voltage source. When I use Kirchoff's Current Law at nodes V0 and V1, I get the following equations. 0 = (dVs/dt-dV1/dt)*C1 - (V1-V2)/R -...
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