Question
The family $y = Ax + {A^3}$ of curves is represented by differential equation of degree
- (a) 1 ✓ Correct
- (b) 2
- (c) 3
- (d) 4
Differential Equations — Class 12 Maths Solution
Step-by-step Solution
Given that, $y = Ax + {A^3}$
$\Rightarrow$ $\frac{{dy}}{{dx}} = A$
[we can differential above equation only once because it has only one arbitrary constant]
$\therefore$ Degree $= 1$
NCERT & Exemplar solution for CBSE Class 12 Mathematics, Differential Equations. Curated by Sachin Sharma. Free for all students.