You have 1 blue suit, 2 black suits, and 1 brown suit, You also have 2 blue ties, 3 red ties, and 3 pink ties. What is the proba
1 answer:
You might be interested in
Is the first term supposed to be 1/4, or did you actually mean 1/3?
I'll assume the latter. Write
I'll assume the latter. Write
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