To reduce the differential equation \[\frac{dy}{dx}+P(x)y=Q(x).{{y}^{n}}\] to the linear form, the substitution is [UPSEAT 2004]

To reduce the differential equation \[\frac{dy}{dx}+P(x)y=Q(x).{{y}^{n

1.	To reduce the differential equation \[\frac{dy}{dx}+P(x)y=Q(x).{{y}^{n}}\] to the linear form, the substitution is [UPSEAT 2004]
A.	\[v=\frac{1}{{{y}^{n}}}\]
B.	\[v=\frac{1}{{{y}^{n-1}}}\]
C.	\[v={{y}^{n}}\]
D.	\[v={{y}^{n-1}}\]
Answer» C. \[v={{y}^{n}}\]

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To reduce the differential equation \[\frac{dy}{dx}+P(x)y=Q(x).{{y}^{n}}\] to the linear form, the substitution is [UPSEAT 2004]

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