If 2 pounds of pasta salad serves 14 people then how much pasta salad should you bring to a picnic with 49 people.
1 answer:
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Assuming you mean
This ODE is linear in
, and you can already contract the left hand side as the derivative of a product:
![\dfrac{\mathrm d}{\mathrm dt}\left[5y\sin t\right]=\cos t\sin^2t](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Cleft%5B5y%5Csin%20t%5Cright%5D%3D%5Ccos%20t%5Csin%5E2t)
Integrating both sides with respect to
yields
Given that
, we have
so that the particular solution over the interval is
This ODE is linear in
Integrating both sides with respect to
Given that
so that the particular solution over the interval is