Question

The order and power of differential equation
$\frac{d^{2}y}{d{x}^2}+y\frac{dy}{dx}+\int ydx=\sin x$ is

• A. $1,3$
• B. $3,1$
• C. $1.2$
• D. $2,1$

Answer 1

The correct option is B $3,1$

The given differential equation is

$\frac{d^{2}y}{d{x}^2}+y\frac{dy}{dx}+\int ydx=\sin x$

Differentiating w.r.t $x$, we get
$\frac{d^{3}y}{d{x}^3}+{\left(\frac{dy}{dx}\right)}^2+y\frac{d^{2}y}{d{x}^2}+y=\cos x$
Hence, order $=3$ and $power=1$.