JEE-MAIN SERIES Mathematics
General And Particular Solutions Of A Differential Equation
16 previous year questions.
Volume: 16 Ques
Yield: Medium
High-Yield Trend
1
2025 1
2024 3
2023 1
2022 3
2019 4
2018 1
2016 1
2014 1
2013 Chapter Questions 16 MCQs
01
PYQ 2013
medium
mathematics ID: jee-main
The integral equals
1
2
3
4
02
PYQ 2014
medium
mathematics ID: jee-main
The integral is equal to :
1
2
3
4
03
PYQ 2016
medium
mathematics ID: jee-main
The integral is equal to (where is a constant of integration)
1
2
3
4
04
PYQ 2018
hard
mathematics ID: jee-main
The solution of the differential equation satisfying , is :
1
2
3
4
05
PYQ 2018
medium
mathematics ID: jee-main
The curve satisfying the differential equation, and passing through the point is :
1
a circle of radius one.
2
a hyperbola.
3
an ellipse.
4
a circle of radius two.
06
PYQ 2018
medium
mathematics ID: jee-main
The differential equation representing the family of ellipses having foci either on the x-axis or on the y-axis, centre at the origin and passing through the point is :
1
2
3
4
07
PYQ 2018
medium
mathematics ID: jee-main
The number of solutions of , in the interval is :
1
1
2
2
3
3
4
4
08
PYQ 2019
easy
mathematics ID: jee-main
The integral is equal to (Hence is a constant of integration)
1
2
3
4
09
PYQ 2019
hard
mathematics ID: jee-main
The integral is equal to : (Here C is a constant of integration)
1
2
3
4
10
PYQ 2019
hard
mathematics ID: jee-main
The integral is equal to : (where C is a constant of integration)
1
2
3
4
11
PYQ 2022
hard
mathematics ID: jee-main
The number of solutions of the equation is:
1
8
2
5
3
6
4
7
12
PYQ 2023
medium
mathematics ID: jee-main
If is the solution curve of the differential equation then is equal to
1
2
3
4
13
PYQ 2023
hard
mathematics ID: jee-main
Let be the solution of the differential equation If for some , then is equal to ______
14
PYQ 2023
hard
mathematics ID: jee-main
Let y = y(x) be a solution of the differential equation (x cos x)dy +(xy sin x + y cos x – l)dx = 0, 0 < x < . If , then is equal to______.
15
PYQ 2024
hard
mathematics ID: jee-main
If y = f(x) is solution of differential equation and then find
1
2
3
4
16
PYQ 2025
medium
mathematics ID: jee-main
Let be the values of m, for which the equations , , and have infinitely many solutions. Then the value of is equal to:
1
440
2
3080
3
3410
4
560