Question

The order of the differential equation $y=C_1{e}^{C_2+x}+C_3{e}^{C_4+x}$ is

• A. 3
• B. 1
• C. 4
• D. 2

Answer 1

Answer: (B)

$y=c_1{e}^{c_2+x}+c_3{e}^{c_4+x}$
$=\left(c_1{e}^{c_2}+c_3{e}^{c_4}\right)e^x$
$=A{e}^x$
$\frac{dy}{dx}-A{e}^x=y$
$\Rightarrow order=1$