Solution of differential equation P \( \left(1+y^{2}\right) d x+\le...
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Solution of differential equation
P
\( \left(1+y^{2}\right) d x+\left(x-e^{\tan ^{-1} y}\right) \quad d y=0 \) is
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(a) \( y e^{\tan ^{-1} x}=\tan ^{-1} x+c \)
(b) \( x e^{\tan ^{-1} y}=\frac{1}{2} e^{2 \tan ^{-1} y}+c \)
(c) \( 2 x=e^{\tan ^{-1} y}+c \)
(d) \( y=x e^{-\tan ^{-1} x}+c \)
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