Answer:
The last choice.
Step-by-step explanation:
The value of k must be restricted from being one that makes the original denominator zero. Hence k ≠ -1 or 5.
5. On the fifth day of my winter break, I got five golden rings. BUT—— the golden rings were five separate water rings around my
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