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)