Question

The general solution of differential equation is $y=a{e}^{bx+c}$ where $a,b,c$ are arbitrary constant. The order of differential equation is:

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

Answer 1

Answer: (B)

$2$

$=a{e}^{bx}.e^c$ $a,b,c$ are three constants
in order to solve the above given equation we have to differentiate it twice so the given equation is
$\frac{d^{2}y}{d{x}^2}=a{b}^2{e}^{bx+c}$
=> Thus, order is $2$
Hence, option 'B' is correct.