Q106 / 180 · COMEDK 2015 · 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

  • Correct answer
    A
    4
  • B
    6
  • C
    2
  • D
    3

Solution

Given, differential equation is $\left(\frac{d^{2} y}{d x^{2}}\right)^{2}-\left(\frac{d y}{d x}\right)^{3}=y^{3}$ So, Order $=2$ and Degree $=2$ $\therefore$ Order $\times$ Degree $=2 \times 2=4$

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

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