# Find the solution : $\large\frac{\sqrt x -2}{\sqrt y -1}$$dy =\large\frac{\sqrt y+1}{\sqrt x +2}$$dx$

$(a)\;y= 4-x+c \\ (b)\;y=1+cx \\ (c)\;y=4+cx \\ (d)\;y=1+c(x-4)$

$\large\frac{dy}{y-1} =\frac{dx}{x-4}$
$\log (y-1) =\log (x-4) +\log c$
$y-1=c(x-4)$
$y= 1+ c(x-4)$
Hence d is the correct answer.