Differential Equations
WB JEE / Mathematics / Calculus / 62 questions
MathematicsCalculus62 PYQs
Practice 62 WB JEE Mathematics questions from Differential Equations. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
62
PYQs on Page
Mathematics / Calculus
2008-2026
Year Range
Based on indexed question metadata
12
Last 5 Years
2022-2026
28
Last 10 Years
2017-2026
Recent Year Trend
2021
2022
2023
2024
2025
2026Latest year
20213 max PYQs/year2026
Question Types
62PYQs
MCQ90.3%
SUBJECTIVE8.1%
MCQM1.6%
Difficulty Mix
#1 Unknown62
12 in last 5 years28 in last 10 years
Differential Equations Questions
Showing 12 of 62 questions on this page.
1Differential Equations
If x2 + y2 = 1, then
MCQ+1 / -0.252009
2Differential Equations
The integrating factor of the differential equation \(x\log x{{dy} \over {dx}} + y = 2\log x\) is given by
MCQ+1 / -0.252009
3Differential Equations
The general solution of the differential equation \({{dy} \over {dx}} = {e^{y + x}} + {e^{y - x}}\) is
where c is an arbitrary constant
where c is an arbitrary constant
MCQ+1 / -0.252009
4Differential Equations
The slope at any point of a curve y = f(x) is given by \({{dy} \over {dx}} = 3{x^2}\) and it passes through (\(-\)1, 1). The equation of the curve is
MCQ+1 / -0.252009
5Differential Equations
Solve : \(({x^2} + 4{y^2} + 4xy)dy = (2x + 4y + 1)dx\)
SUBJECTIVE+2 / -02008
6Differential Equations
The differential equation of the family of curves \(y = {e^{2x}}(a\cos x + b\sin x)\), where a and b are arbitrary constants, is given by
MCQ+1 / -0.252008
7Differential Equations
The differential equation of the family of circles passing through the fixed points (a, 0) and (\(-\)a, 0) is
MCQ+1 / -0.252008
8Differential Equations
The order and degree of the following differential equation \({\left[ {1 + {{\left( {{{dy} \over {dx}}} \right)}^2}} \right]^{5/2}} = {{{d^3}y} \over {d{x^3}}}\) are respectively
MCQ+1 / -0.252008
9Differential Equations
The solution of the differential equation \({{dy} \over {dx}} = {e^{y + x}} + {e^{y - x}}\) is
MCQ+1 / -0.252008
10Differential Equations
The differential equation of all parabolas whose axes are parallel to y-axis is
MCQ+1 / -0.252008
11Differential Equations
The degree of the differential equation \({\left[ {1 + {{\left( {{{dy} \over {dx}}} \right)}^2}} \right]^{5/3}} = {{{d^2}y} \over {d{x^2}}}\) is
MCQ+1 / -0.252008
12Differential Equations
The function f(x) which satisfies \(f(x) = f( - x) = {{f'(x)} \over x}\) is given by
MCQ+1 / -0.252008
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