If sinx is the integrating facor (IF) of the linear differetnial equation ` (dy)/(dx)+Py =Q` , then P isA. log sin xB. cos xC. tan xD. cot x

If sinx is the integrating facor (IF) of the linear differetnial equat

1.	If sinx is the integrating facor (IF) of the linear differetnial equation ` (dy)/(dx)+Py =Q` , then P isA. log sin xB. cos xC. tan xD. cot x
Answer» Correct Answer - d We know that , IF of `(dy)/(dx) + Py = Q` is ` IF = e^(int Pdx)` ` sin x = e^(int p dx)` On differentiating both sides , we get ` cos x = e^(int pdx) P` ` cos x = sin P rArr P = cot x`

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If sinx is the integrating facor (IF) of the linear differetnial equation ` (dy)/(dx)+Py =Q` , then P isA. log sin xB. cos xC. tan xD. cot x

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