Question

The order of the differential equation whose solution is $y=a\cos \left(x\right)+b\sin \left(x\right)+c{e}^{-x}$ is

• A. $3$
• B. $2$
• C. $1$
• D. None of these

Answer 1

The correct option is A

$3$

Explanation for the correct option

Given equation is $y=a\cos \left(x\right)+b\sin \left(x\right)+c{e}^{-x}$

There are $3$ arbitrary constants $a,b$ and $c$

Therefore the order of the differential equation is $3$

Hence, the correct option is $\left(\mathrm{A}\right)$.