The differential equation of the curve y =sin is

Options

A. ` (d^(2)y)/(dx^(2))+y (dy)/(dx)+x=0`
B. `(d^(2)y)/(dx^(2))+y=0`
C. `(d^(2)y)/(dx^(2)) -y=0`
D. `(d^(2)y)/(dx^(2) +x=0`

Answer

B

Explanation

Given curve is y = sin x
Differentiate both the sides w.r.t,'x'
` Rightarrow (dy)/(dx) = cos x Rightarrow (d^(2)y)/(dx^(2)) = -sin x`
`Rightarrow (d^(2)y)/(dx^(2))=-y`
` y + (d^(2)y)/(dx^(2)) =0`