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**1. The problem statement, all variables and given/known data**

integrate:

##-v(du/dy) = κ(d^2(u)/dy^2) ##

to obtain:

## (-v/κ)y = ln(du/dy) + c##

and finally:

##u = d + w*e^(-vy/κ)##

**2. Relevant equations**

##-v(du/dy) = κ(d^2(u)/dy^2) ##

## (-v/κ)y = ln(du/dy) + c##

**3. The attempt at a solution**

## (-v/κ)dy = d(u) ##

which gives:

## (-vy/κ) + C = u ##