An equation relating to the stability of an aeroplane is given by ` (dv)/(dt) = g cos alpha - kv`, where ` v` is the velocity and ` g, alpha, k` are constants. Find an expression for the velocity if `v = 0` at ` t =0`

Explanation

To solve the differential equation given by

\[ \frac{dv}{dt} = g \cos \alpha - kv \]

where \(v\) is the velocity, and \(g\), \(\alpha\), and \(k\) are constants, we will follow these steps:

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