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Mugged
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How do i solve this ODE, anyone have any ideas?
[tex]\frac{dv}{dt} = g - \frac{b}{m}*v^2[/tex]
[tex]\frac{dv}{dt} = g - \frac{b}{m}*v^2[/tex]
Solving ODE with Constant Coefficients: A Scientific Approach
- Thread starter Mugged
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Homework Help Overview
The discussion revolves around solving an ordinary differential equation (ODE) with constant coefficients, specifically the equation \(\frac{dv}{dt} = g - \frac{b}{m}*v^2\). Participants are exploring methods to approach this problem.
Discussion Character
- Exploratory, Mathematical reasoning, Assumption checking
Approaches and Questions Raised
- Some participants suggest using the separation of variables method, while others mention attempts that resulted in a function involving the tangent function. There is also a mention of using partial fractions as an alternative approach.
Discussion Status
The discussion is active, with participants sharing their thoughts on potential methods and confirming the constants involved in the equation. There is no explicit consensus on a single approach, but various lines of reasoning are being explored.
Contextual Notes
Participants have confirmed that \(g\), \(b\), and \(m\) are constants, which is a key assumption in their discussions. There may be constraints related to the specific methods allowed in the context of homework rules.
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