( y d x 2 ) 2 + ( dx ) = 0

Differential Equations — Class 12 Maths Solution

ncert exercise SA NCERT Ex.9.1,Q.4,Page 382

Question

${\left( {\cfrac{{{d^2}y}}{{d{x^2}}}} \right)^2} + \cos \left( {\cfrac{{dy}}{{dx}}} \right) = 0$

Step-by-step Solution

.: The highest order derivative is
$\cfrac{{{d^2}y}}{{d{x^2}}}$ , therefore, its
order is 2.

The given differential equation is not a polynomial in $\cfrac{{dy}}{{dx}}$,

therefore, its degree is not defined.

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