Question

Degree of $y\frac{d^{2}y}{d{x}^2}={[3+{\left(\frac{dy}{dx}\right)}^2]}^{\frac{2}{3}}$ is:

• A. $4$
• B. $3$
• C. $2$
• D. $1$

Answer 1

Answer: (B)

$3$

$y{y}_2=(3+y_1^2{)}^{\frac{2}{3}}$

$\Rightarrow (y{y}_2{)}^3=(3+y_1^2{)}^2$

$\Rightarrow y^3{y}_2^3=[9+y_1^4+6y_1^2]$

Order: Order of a differential equation is the order of the highest order derivative (also known as differential coefficient) present in the equation

Degree: The degree of the differential equation is represented by the power of the highest order derivative in the given differential equation.

$\therefore$ order $=2$, degree $=3$