The degree of the differential equation ( y d x 2 ) 2 + ( dx ) 2 = x ( dx ) is

The degree of above differential equation is not defined because when we expand ( dx ) we get an infinite series in the increasing powers of dx . Therefore its degree is not defined.

Differential Equations — Class 12 Maths Solution

exemplar objective MCQ NCERT EXEMP.Q.34,Page.195

Question

The degree of the differential equation ${\left( {\frac{{{d^2}y}}{{d{x^2}}}} \right)^2} + {\left( {\frac{{dy}}{{dx}}} \right)^2} = x\sin \left( {\frac{{dy}}{{dx}}} \right)$ is

(a) 1
(b) 2
(c) 3
(d) not defined ✓ Correct

Step-by-step Solution

The degree of above differential equation is not defined because when we expand $\sin \left( {\frac{{dy}}{{dx}}} \right)$

we get an infinite series in the increasing powers of $\frac{{dy}}{{dx}}$.

Therefore its degree is not defined.

← All Differential Equations solutions Practice tests →

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