Solve this integral involving a quadratic and linear air resistance equation

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The discussion revolves around solving an integral related to a quadratic and linear air resistance equation, specifically the equation -bv - cv² = m(dv/dt). The user struggles to isolate velocity (V) after performing the integration, leading to discrepancies between their result and the expected correct answer. Key points of confusion include the proper application of partial fractions and the handling of logarithmic terms during integration. Ultimately, the correct form of the solution is clarified, revealing that the user's approach was close but contained errors in the exponential arguments and dimensional consistency. The conversation highlights the importance of careful integration techniques and dimensional analysis in solving differential equations.
  • #31
Ah, sorry! I feel bad.
 

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