Question
The degree of differential equation $\frac{{{d^2}y}}{{d{x^2}}} + {\left( {\frac{{dy}}{{dx}}} \right)^3} + 6{y^5} = 0$ is
- (a) 1 ✓ Correct
- (b) 2
- (c) 3
- (d) 5
Differential Equations — Class 12 Maths Solution
Step-by-step Solution
$\frac{{{d^2}y}}{{d{x^2}}} + {\left( {\frac{{dy}}{{dx}}} \right)^3} + 6{y^5} = 0$
We know that, the degree of a differential equation is exponent heighest of order derivative.
$\therefore$ Degree $= 1$
NCERT & Exemplar solution for CBSE Class 12 Mathematics, Differential Equations. Curated by Sachin Sharma. Free for all students.