Q106 / 160 · AP EAMCET 2020 (17 Sep Shift 2) · Mathematics

The product of the degree and order of the differential equation \(\left(\frac{d^2 y}{d x^2}\right)^2-\left(\frac{d y}{d x}\right)^3=y^3\) is

  • A
    3
  • Correct answer
    B
    4
  • C
    6
  • D
    5

Solution

\(\left(\frac{d^2 y}{d x^2}\right)^2-\left(\frac{d y}{d x}\right)^3=y^3\) Order \(=2\), Degree \(=2\) Product \(=2 \times 2=4\).

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

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