I also have a bernouli's equation problem that I wonder if you guys would check the work on. Here goes:

Bernouli's equation:

y'+p(x)y=Q(x)y^n

dv/du=(u-v)^2-2(u-v)-2 w=u-v dw/du=1-dv/du dv/du=1-dw/du

1-dw/du=w^2-2w-2

dw/du=-w^2+2w+3

dw/du-2w=-w^2+3

p=-2, Q=-W^2+3

Linear form:

dz/dw+(1-n)PZ=(1-n)Q

dz/dw=(1-2)(-2)(Z)=(1-2)(-W^2+3)

dz/dw+2z=w^2-3

u=e∫2dw=e^2w

z=1/u(∫uq+c)

Z=1/e^2w(∫(e^2w)(w^2-3) + C Now where I go from here is a mystery to me. Anyone have some idea of how to intergrate that function?

Oh yeah, Answer is (u-v-3)e^4u=c(u-v+1)