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Math Help - Differential Equation from RLC Circuit

  1. #1
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    Differential Equation from RLC Circuit

    Can somebody show the missing step/s between (8.18) and (8.19)? The equation comes from a book on electrical circuits.
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  2. #2
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    Re: Differential Equation from RLC Circuit

    Quote Originally Posted by p75213 View Post
    Can somebody show the missing step/s between (8.18) and (8.19)? The equation comes from a book on electrical circuits.
    Try working in reverse, it's just a recognition of evaluating a derivative using a product rule...
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    Re: Differential Equation from RLC Circuit

    Quote Originally Posted by Prove It View Post
    Try working in reverse, it's just a recognition of evaluating a derivative using a product rule...

    I see what you mean.
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    Re: Differential Equation from RLC Circuit

    Just to confirm, being i the imaginary unit, first term should vanish as di/dt=0?
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    Re: Differential Equation from RLC Circuit

    Quote Originally Posted by rulmismo View Post
    Just to confirm, being i the imaginary unit, first term should vanish as di/dt=0?
    Most definitely NOT. In electrical engineering, i is current, and j is the square root of minus one, in order to avoid just this confusion. The current i = i(t) is a function of time.
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