Question

Order and degree of the differential equation
$\frac{dy}{dx}+2\frac{dx}{dy}=7$ are

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

Answer 1

The correct option is B $1,2$

Let $y_1=\frac{dy}{dx}$

So, the given differential equation can be written as
$y_1+\frac{2}{y_1}=7$

$y_1^2-7y_1+2=0$

Order=$1$ (Order of a differential equation is the order of the highest derivative (also known as differential coefficient) present in the equation.)
Degree=$2$ (The degree of differential equation is represented by the power of the highest order derivative in the given differential equation.)