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Differential Equations — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSDifferential Equations1 Mark
Question
Write the integrating factor of the equation $\frac{d y}{d x}+\frac{1}{\sin x}$ $y=e^x$.
✓

Answer

$
\begin{aligned}
\text { I.F. } & =e^{\int Pdx}=e^{\int \frac{1}{\sin x} d x} \\
\text { I.F. } & =e^{\int \operatorname{cosec} x d x}=e^{\log \tan \frac{x}{2}} \\
& =\tan \frac{x}{2}
\end{aligned}
$

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