The order of the differential equation 2x^2 d^2y dx^2 -3 dy dx +y… - Vidyadip

MCQ

The order of the differential equation
$2\text{x}^2\frac{\text{d}^2\text{y}}{\text{dx}^2}-3\frac{\text{dy}}{\text{dx}}+\text{y}=0 \ \text{is}$

✓
$2$
B
$1$
C
$0$
D
not defined.

✓

Answer

Correct option: A.

$2$

The given differential equation is $2\text{x}^2\frac{\text{d}^2\text{y}}{\text{dx}^2}-3\frac{\text{dy}}{\text{dx}}+\text{y}=0$
The highest order derivative present in the differential equation is $\frac{\text{d}^2\text{y}}{\text{dx}^2}.$
$\therefore$ its order is $2$

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