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APPLICATION OF DERIVATIVES — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsAPPLICATION OF DERIVATIVES1 Mark
Question
Write the integrating factor of the following differential equation:
$(1 + \text{y}^{2}) + (2\text{xy} -\cot\text{y})\frac{\text{dy}}{\text{dx}} = 0$
✓

Answer

$\frac{\text{dx}}{\text{dy}} + \frac{2\text{y}}{1 + \text{y}^{2}} . \text{x} = \cot\text{y}$
Integrating factor $= e^{\log(1 + \text{y}^{2})} \text{or} (1 + \text{y}^{2})$

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