CUET Preparation Today
CUET
-- Mathematics - Section B1
Differential Equations
Order of the differential equation representing the family of parabolas y2 = 4ax is :
2
5
3
1
As no. of arbitrary constant = 1
⇒ order of differential equation = 1
$y^2=4ax$ so $2yy'=4a$
so $2yy'=\frac{y^2}{x}$
$2xy'=y$
→ order = 1