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The general solution of the differential equation \(\ \left(\tan ^{-1} y-x\right) d y=\left(1+y^2\right) d x \) is

Q1

The general solution of the differential equation \(\ \left(\tan ^{-1} y-x\right) d y=\left(1+y^2\right) d x \) is

a

\(\ x=\left(\tan ^{-1} y+1\right)+C e^{-\tan ^{-1} y} \)

b

\(\ x=\left(\tan ^{-1} y-1\right)+C e^{-\tan ^{-1} y} \)

c

\(\ x=\left(\tan ^{-1} x-1\right)+C e^{-\tan ^{-1} x} \)

d

\(\ x=\left(\tan ^{-1} x+1\right)+C e^{-\tan ^{-1} x} \)

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