Solving Differential Equation Constants

If the solution curve, of the differential equation ‌

dy

dx

=‌

x+y−2

x−y

passing through the point (2,1) is
tan−1(‌

y−1

x−1

)−‌

1

β

loge(α+(‌

y−1

x−1

)2)=|logex−1|
then 5β+α is equal to__