Question

The degree and order of the differential equation $\frac{d^{2}y}{d{x}^2}+x^2{\left(\frac{dy}{dx}\right)}^2+\cos x=0$ is

• A. $1$ and $3$
• B. $1$ and $2$
• C. $2$ and $1$
• D. $2$ and $2$

Answer 1

The correct option is B $1$ and $2$

$\frac{d^{2}y}{d{x}^2}+x^2{\left(\frac{dy}{dx}\right)}^2+cosx=0$
The highest order derivative present in the equation is $\frac{d^{2}y}{d{x}^2}$ so the order is $=2$
The power raised to highest order derivative is $=1$
Hence degree $=1$ and order $=2$