An organization will give a prize to a local artist. The artist will be randomly chosen from among 10 painters, 3 sculptors, and
2 answers:
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Rewrite the ODE as
so that it is now linear in
. An integrating factor would
Multiply both sides by
to get
![\dfrac{\mathrm d}{\mathrm dy}[x\log y]=\dfrac{\log y}y](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dy%7D%5Bx%5Clog%20y%5D%3D%5Cdfrac%7B%5Clog%20y%7Dy)
so that it is now linear in
Multiply both sides by