Q118 / 160 · AP EAMCET 2024 (20 May Shift 1) · Mathematics

The sum of the order and degree of the differential equation $\frac{d^4 y}{d x^4}=\left\{c+\left(\frac{d y}{d x}\right)^2\right\}^{\frac{3}{2}}$ is

  • A
    $4$
  • Correct answer
    B
    $6$
  • C
    $5$
  • D
    $8$

Solution

$\left(\frac{d^4 y}{d x^4}\right)^2=\left[c+\left(\frac{d y}{d x}\right)^2\right]^3$ Order $=4$, Degree $=2$

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

Relevant Questions