Q105 / 160 · WBJEE 2010 · Mathematics

The degree of the differential equation $x=1+\left(\frac{d y}{d x}\right)+\frac{1}{2 !}\left(\frac{d y}{d x}\right)^2+\frac{1}{3 !}\left(\frac{d y}{d x}\right)^3+\ldots \ldots \ldots$

  • A
    3
  • B
    2
  • Correct answer
    C
    1
  • D
    not defined

Solution

Hints: $x=e \frac{d y}{d x}, \frac{d y}{d x}=\log _e x$

Hence, the correct answer is option: 'C'.

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