what happens if a student falls in love… :D
ok… arbit theory time :
consider an average iitian who develops a ‘liking’ to this girl… we call this degree of liking as ‘love concentration’ which is a function of time. now, his grades start getting affected adversely because he can’t think of much else but this girl. and the more the ‘concentration of love’, the more his grades get affected.
so, we formulate this equation:
- d(grades)/dt = k[love(t)]
here, k is a constant depending upon the person in question and [love(t)] is ‘love concentration as a function of time’.
now, the [love(t)] can be assumed to be of the form : N( 1 – exp(-λt))
where N and λ are known constants and time is in months.
so, we integrate this equation ( from t=0 to t and find that grades as a function of time is :
grades(t) = grades(initial) + kN/λ – kN(t + exp(-λt)/λ)
now i can’t actually draw the graph here right now, but it turns out that the grades initially decrease, reach a minima and then go up again
to be honest, this is what i expected… because when i fell in love, it was whirlwind of emotions of sorts and then gradually, we became each other’s strengths… and its imperative that we support each other now…
update : courtesy my friend kalyani’s comment below, the struck out part is incorrect… hoping someone can suggest me a love(t) function which proves the struck out part…

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