The integrating factor of the differential equation is contexto.140 2 years ago Given This is in the form of here
![\[\frac{\mathrm{dy}}{\mathrm{dx}}+\frac{2}{\mathrm{x}} \cdot \mathrm{y}=\mathrm{x}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-57833ec3de1313807c8681bdd5a0dc63_l3.png "Rendered by QuickLaTeX.com")
![\[\begin{array}{l} \text { I.F }=\mathrm{e}^{\wedge}\{\operatorname{int} \mathrm{P} \backslash \mathrm{dx}\} \$ S \\ =\mathrm{e}^{\int} \frac{2}{x} \mathrm{dx} \end{array}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-7c2e262f388b9a0723e16eb9672a7dd7_l3.png "Rendered by QuickLaTeX.com")
![\[=e^{2} \int \frac{d}{x} d x\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-3f5277e020e2ff2d2485a6c60c8b3931_l3.png "Rendered by QuickLaTeX.com")
![\[=e^{2 . \log _{E}^{x}}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-6e44a3ffdbaca371d7cb7dfe2bd0066e_l3.png "Rendered by QuickLaTeX.com")
![\[=e^{\log z^{2}}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-5bba30e418df6a4f32aecbad700921f0_l3.png "Rendered by QuickLaTeX.com")
![\[=x^{2}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-8fb2b4fbcdb976bd6be6f42223345c38_l3.png "Rendered by QuickLaTeX.com")
![\[\text { I.F }=x^{2}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-5db0f0b840d3db68abf736710c1e415d_l3.png "Rendered by QuickLaTeX.com")
