The degree of the differential equation ( y d x 2 ) 3 + ( dx ) + ( dx ) + 1 = 0 is 3 2 1 not defined

Option d is correct Since the given differential is not a polynomial in dx , therefore, its degree is not defined.

Differential Equations — Class 12 Maths Solution

ncert exercise SA NCERT Ex.9.1,Q.11,Page 383

Question

The degree of the differential equation
${\left( {\cfrac{{{d^2}y}}{{d{x^2}}}} \right)^3} + \left( {\cfrac{{dy}}{{dx}}} \right) + \sin \left( {\cfrac{{dy}}{{dx}}} \right) + 1 = 0$ is

• $3$

• $2$

• $1$

• not defined

Step-by-step Solution

Option d is correct

Since the given differential is not a polynomial in $\cfrac{{dy}}{{dx}}$, therefore,

its degree is not
defined.

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