Question

The degree of the differential equation ${(1+{\left(\frac{dy}{dx}\right)}^2)}^{3/4}={\left(\frac{d^{2}y}{{dx}^2}\right)}^{1/3}$ is:

• A. 2
• B. 4
• C. 9
• D. 1

Answer 1

Answer: (B)

4

${(1+{\left(\frac{dy}{dx}\right)}^2)}^{3/4}={\left(\frac{d^{2}y}{{dx}^2}\right)}^{1/3}$

$\Rightarrow {(1+{\left(\frac{dy}{dx}\right)}^2)}^9={\left(\frac{d^{2}y}{{dx}^2}\right)}^4$ , Take 12th power both sides,

Hence degree of above equation is $4$ and order is $2$