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Differential Equations PYQs - Last 10 Years

VITEEE / Mathematics / Calculus / 14 recent questions

MathematicsCalculus2016-2025

Practice 14 VITEEE Mathematics questions from Differential Equations. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

14
PYQs on Page
Mathematics / Calculus
2021-2025
Year Range
Based on indexed question metadata
14
Last 5 Years
2021-2025
14
Last 10 Years
2016-2025

Recent Year Trend

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20215 max PYQs/year2025

Question Types

14PYQs
MCQ100%

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#1 Unknown14
14 in last 5 years14 in last 10 years

Last 10 Years Differential Equations Questions

Showing 14 of 14 filtered questions.

1Differential Equations
The differential equation for all family of line which are at a unit distance from the origin is
MCQ+4 / -12025
2Differential Equations
The differential equation corresponding to the family of curves $y=e^x(a x+b)$ is
MCQ+4 / -12024
3Differential Equations
The solution of differential equation \(y y^{\prime}=x\left(\frac{y^2}{x^2}+\frac{f\left(y^2 / x^2\right)}{f^{\prime}\left(y^2 / x^2\right)}\right)\) is
MCQ+4 / -12023
4Differential Equations
If \(x d y / d x=x^2+y-2, y(1)=1\), then \(y(2)\) is equal to
MCQ+4 / -12023
5Differential Equations
The solution of \(d y / d x=1+x+y+x y\) is
MCQ+4 / -12023
6Differential Equations
If \(m\) and \(n\) are order and degree of the question \(\left(\frac{d^2 y}{d x^2}\right)^4+8 \frac{\left(d^2 y / d x^2\right)^3}{\left(d^4 y / d x^4\right)^5}+\left(\frac{d^4 y}{d x^4}\right)=x^2+4\), then \(m-n\) is equal to
MCQ+4 / -12023
7Differential Equations
Find the solution of equation \(\frac{d y}{d x}=\frac{1}{\cos (x+y)}\)
MCQ+4 / -12022
8Differential Equations
Find the solution of \(\frac{d y}{d x}=\frac{1}{\cos (x-y)}\)
MCQ+4 / -12022
9Differential Equations
The solution of the equation \(\frac{d y}{d x}+x(x+y)=x^3(x+y)^3-1\) is
MCQ+4 / -12022
10Differential Equations
If \(p\) and \(q\) are order and degree of the question \(\left(\frac{d^2 y}{d x^2}\right)^4+4 \frac{\left(\frac{d^2 y}{d x^2}\right)^2}{\left(\frac{d^3 y}{d x^3}\right)^3}+\frac{d^3 y}{d x^3}=x^2-1\), then
MCQ+4 / -12022
11Differential Equations
The solution of \(\frac{d y}{d x}=1+x+y+x y\) is
MCQ+4 / -12022
12Differential Equations
On solving the differential equation \(x^2 y d x-\left(x^3+y^3\right) d y=0\), the value of \(\log y\) is
MCQ+4 / -12021
13Differential Equations
The general solution of the linear differential equation \(\frac{d y}{d x}+\sec x \cdot y=\tan x\left(0 \leq x \leq \frac{\pi}{2}\right)\) is
MCQ+4 / -12021
14Differential Equations
The particular solution of the differential equation \(\frac{d y}{d x}+y \cot x=2 x+x^2 \cot x\), such that \(y(\pi / 2)=0\) is
MCQ+4 / -12021