- #1
asdf1
- 734
- 0
for the following question:
y`-Ay=-By^2
my problem:
Suppose u=y^(-1)
so u`=-y^(-2)y`=B-Au
so du/(B-Au)= dx
=> B-Au=ce^x
=> u=(B-ce^x)/A
so y=1/u=a/(B-ce^x)
however, the correct answer should be y=1/[(B/A)+ce^(-ax)]
does anybody know where my calculations went wrong?
y`-Ay=-By^2
my problem:
Suppose u=y^(-1)
so u`=-y^(-2)y`=B-Au
so du/(B-Au)= dx
=> B-Au=ce^x
=> u=(B-ce^x)/A
so y=1/u=a/(B-ce^x)
however, the correct answer should be y=1/[(B/A)+ce^(-ax)]
does anybody know where my calculations went wrong?