MCQ
Choose the correct answer from the given four option.
The solution of the differential equation $\frac{\text{d}\text{y}}{\text{d}\text{x}}=\frac{1+\text{y}^2}{1+\text{x}^2}$ is:
  • A
    $\text{y}=\tan^{-1}\text{x}$
  • $\text{y}-\text{x}=\text{k}(1+\text{xy})$
  • C
    $\text{x}=\tan^{-1}\text{y}$
  • D
    $\tan(\text{xy})=\text{k}$

Answer

Correct option: B.
$\text{y}-\text{x}=\text{k}(1+\text{xy})$

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