- #1
Salviati
- 14
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Homework Statement
I'm attempting to solve the differential equation,
[itex]\frac{dv}{dt}=\frac{P}{mv}-\frac{1}{2m}C\rho Av^{2}[/itex]
where [itex]P, \rho, m, A, C[/itex] are constants.The differential equation is used to approximate the velocity of a cyclist undergoing air resistance.
It's actually presented as a numerical problem but I'm wondering if it's possible to solve it analytically.
Homework Equations
[itex]\frac{dv}{dt}=\frac{P}{mv}-\frac{1}{2m}C\rho Av^{2}[/itex]
[itex]P, \rho, m, A, C[/itex] are constantsThe Attempt at a Solution
I'm not sure how to classify the ODE. It's not separable, linear nor exact. Not sure how I could use change of variables either.
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