Solution:
On integrating both the sides, we get
Left Hand Side:
On comparing coefficients in both sides, we get
![\begin{array}{l} \frac{1}{y(y-1)} d y=-\frac{1}{y}+\frac{1}{(y-1)} \\ \int \frac{1}{y(y-1)} d y=\int\left[-\frac{1}{y}+\frac{1}{(y-1)}\right] d y \\ \int-\frac{1}{y} d y+\int \frac{1}{(y-1)} d y \\ -\log y+\log (y-1) \\ \Rightarrow \log \left(\frac{y-1}{y}\right) \end{array}](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-d7362f7dc0b2599b20c1b64b7aaecd9a_l3.png "Rendered by QuickLaTeX.com")
So the solution of the differential equation given is
Find the general solution of each of the following differential equations: 
