Solution:
On integrating both the sides, we get
Using the ILATE rule,
![\begin{array}{l} \int e^{y} \cdot y d y=y \cdot \int e^{y} d y-\int\left[\frac{d}{d y}(y) \cdot \int e^{y} d y\right] d y \\ y \cdot e^{y}-\int e^{y} d y \\ y \cdot e^{y}-e^{y} \\ e^{y}(y-1) \end{array}](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-34dcb6d6ddda8b4236c17df97789772b_l3.png "Rendered by QuickLaTeX.com")
Right Hand Side:
Multiplying and dividing by 2
Hence, the solution of the given differential equation is
Find the general solution of each of the following differential equations: 
