Q73 / 180 · COMEDK 2012 · Mathematics

The order of the differential equation $\left[1+\left(\frac{d y}{d x}\right)^{5}\right]^{\frac{2}{3}}=\frac{d^{3} y}{d x^{3}}$

  • A
    2
  • B
    1
  • Correct answer
    C
    3
  • D
    $\frac{2}{3}$

Solution

Given, differential equation is $$ \left[1+\left(\frac{d y}{d x}\right)^{5}\right]^{\frac{2}{3}}=\frac{d^{3} y}{d x^{3}} $$ Here, highest derivative is $\frac{d^{3} y}{d x^{3}}$. So, order $=3$

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

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