Find the order of differential equations: 2x^2 d^2y dy^2 -3 dx dx… - Vidyadip

MCQ

Find the order of differential equations$:\ 2\text{x}^2\frac{\text{d}^2\text{y}}{\text{d}\text{y}^2}-3\frac{\text{dx}}{\text{dx}}+\text{y}=0$

✓
$2$
B
$1$
C
$0$
D
Undefined

✓

Answer

Correct option: A.

$2$

Given, the differential equation is:
$2\text{x}^2\frac{\text{d}^2\text{y}}{\text{d}\text{y}^2}-3\frac{\text{dx}}{\text{dx}}+\text{y}=0$
Or we can write:
$2 x^2 y^{\prime \prime}-3 y^{\prime}+y=0$
Order is the highest derivative in the differential equation.
Therefore, the order is $2.$

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