Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

The degree and order of the differential equation of all parabolas whose axis is $x$-axis are

Options:

2,1

1,2

3,2

none of these

Correct Answer:

1,2

Explanation:

The equation of all parabolas whose axis is X-axis is given by $y^2=4 a(x-h)$

Differentiating w.r. to $x$, we get

$2 y y_1=4 a \Rightarrow y y_1=2 a \Rightarrow y_1^2+y y_2=0$

This is a differential equation of order 2 and degree 1.