The order of the differential equation 2 x 2 y d x 2 - 3 dx + y = 0 is 2 1 0 not defined

Option a is correct Since the highest order derivative is y d x 2 , therefore, its order is 2. Exercise-9.2

Differential Equations — Class 12 Maths Solution

ncert exercise SA NCERT Ex.9.1,Q.12,Page 383

Question

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

• $2$

• $1$

• $0$

• not defined

Step-by-step Solution

Option a is correct

Since the highest order derivative is
$\cfrac{{{d^2}y}}{{d{x^2}}}$ ,

therefore, its order is 2.

Exercise-9.2

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Differential Equations. Curated by Sachin Sharma. Free for all students.