MCQ
lf y = $a e^{\cos ^{-1} x}$, then corresponding to this the differential equation is ______.
  • A
    $\frac{d y}{d x}=\frac{x}{\sqrt{1-x^2}}$
  • $\frac{d y}{d x}=\frac{-y}{\sqrt{1-x^2}}$
  • C
    $\frac{d y}{d x}=\frac{\sqrt{1-x^2}}{y}$
  • D
    $\frac{d y}{d x}=\frac{-x}{\sqrt{1-x^2}}$

Answer

Correct option: B.
$\frac{d y}{d x}=\frac{-y}{\sqrt{1-x^2}}$
B

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