Time Left - 20:00 mins

JEE 2020 Mathematics: Introduction to Differential Equations Quiz 2 (06.08.2019)

Attempt now to get your rank among 127 students!

Question 1

The differential equation of the family of curves y = Ae^3x + Be^5x where A and B are arbitrary constants, is

Question 2

The differential equation of the family of parabolas with focus at the origin and the x–axis as axis is

Question 3

The differential equation of the family of curves for which the length of the normal is equal to a constant k, is given by

Question 4

The slope of the tangent at

to a curve passing through

is given by

, then the equation of the curve is

Question 5

The differential equation of all non-horizontal lines in a plane is

Question 6

The differential equation of all parabolas whose axes are parallel to the axis of y, is

Question 7

The differential equation of the family of ellipses having major and minor axes respectively along the x and y-axis and the minor axis is equal to half of the major axis, is

Question 8

The differential equation of the family of curves y = a sin px + b cos px where a, b are arbitrary constants is given by

Question 9

Y = 4sin 3x is a solution of the differential equation:

Question 10

What is the differential equation of all lines in x-y plane?

127 attempts
0 upvotes
6 comments

Tags :

Aug 6JEE & BITSAT