- #1
aztect
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Can anyone help me with this?
[tex]Ri(t) + L\frac{di(t)} {dt}=V_{m}sin(wt+\theta)[/tex]
[tex]Ri(t) + L\frac{di(t)} {dt}=V_{m}sin(wt+\theta)[/tex]
Solving Ri(t)+Ld$\frac{di(t)}{dt}=V_{m}sin(wt+\theta)
- Context: Graduate
- Thread starter aztect
- Start date
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Discussion Overview
The discussion revolves around solving the differential equation Ri(t) + L\frac{di(t)}{dt} = V_{m}sin(wt+\theta), focusing on methods for finding the solution, particularly through the use of integrating factors. The scope includes mathematical reasoning and problem-solving techniques.
Discussion Character
- Mathematical reasoning
Main Points Raised
- One participant seeks assistance in solving the given differential equation.
- Another participant suggests considering the integrating factor as a potential approach.
- A subsequent reply proposes the integrating factor as \exp\int\frac{R}{L}dt.
- Another participant asks for a simpler expression for the integrating factor, assuming R and L are constants.
- A later reply presents the integrating factor in a more general form as \exp\int{x}dt.
Areas of Agreement / Disagreement
Participants have not reached a consensus on the integrating factor or the solution method, and multiple approaches are being discussed without resolution.
Contextual Notes
Assumptions regarding the constancy of R and L are mentioned, but the implications of these assumptions on the solution process remain unresolved.
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