Q225 / 270 · NDA 2023 (Phase 1) · Mathematics

Paragraph: Suppose E is the differential equation representing family of curves $y^2=2 c x+2 c \sqrt{c}$ where c is a positive parameter.
Question: What is the degree of the differential equation?

  • A
    $2$
  • Correct answer
    B
    $3$
  • C
    $4$
  • D
    Degree does not exist

Solution

As highest power of $\frac{d y}{d x}=3$ $\therefore \quad$ Degree $=3$

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

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