Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

Order of the differential equation representing the family of parabolas y2 = 4ax is  :

Options:

2

5

3

1

Correct Answer:

1

Explanation:

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