Problem $2\mathrm{.}2\mathrm{.}4$ Solve the given differential equation by separation of varatores

$dy-(y-1{)}^{2}dx=0=>dy=(y-1{)}_d^{2}x$

$\frac{1}{(y-1{)}^2}dy=dx=>{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(y-1{)}^{-2}dy={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}dx$

$=>\frac{1}{-21}(y-1{)}^{-21}=$

$2\mathrm{.}2-$ Advanced Engineering Math