Differential Equations Question - CBSE

Question

The Integrating Factor of the differential equation $(1 - y^2) \dfrac{dx}{dy} + y x = a y$ is:
(a) $\dfrac{1}{\sqrt{1 - y^2}}$
(b) $\sqrt{1 - y^2}$
(c) $\dfrac{1}{1 - y^2}$
(d) $\log|1 - y^2|$

Accepted Answer

$ ext{I.F.} = e^{-\frac{1}{2} \log(1-y^2)} = \dfrac{1}{\sqrt{1-y^2}}$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Evaluating I.F. $= 1/\sqrt{1-y^2}$: 1.0 Mark

Question:

Step-by-Step Solution

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