1
GATE ME 2024
Numerical
+2
-0
If $x(t)$ satisfies the differential equation
$t \frac{dx}{dt} + (t - x) = 0$
subject to the condition $x(1) = 0$, then the value of $x(2)$ is __________ (rounded off to 2 decimal places).
Your input ____
2
GATE ME 2023
Numerical
+2
-0
Consider the second-order linear ordinary differential equation
$\rm x^2\frac{d^2y}{dx^2}+x\frac{dy}{dx}-y=0, x\ge1$
with the initial conditions
$\rm y(x=1)=6, \left.\frac{dy}{dx}\right|_{x=1}=2$
The value of 𝑦 at 𝑥 = 2 equals ________.
(Answer in integer)
Your input ____
3
GATE ME 2022 Set 2
MCQ (Single Correct Answer)
+2
-0.66
For the exact differential equation,
$\frac{du}{dx}=\frac{-xu^2}{2+x^2u}$
which one of the following is the solution?
4
GATE ME 2017 Set 2
Numerical
+2
-0
Consider the differential equation $$\,\,3y''\left( x \right) + 27y\left( x \right) = 0\,\,$$ with initial conditions $$y\left( 0 \right) = 0$$ and $$y'\left( 0 \right) = 2000.\,\,$$ The value of $$y$$ at $$x=1$$ is __________.
Your input ____
Questions Asked from Differential Equations (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE ME 2025 (1)
GATE ME 2024 (1)
GATE ME 2023 (1)
GATE ME 2022 Set 2 (1)
GATE ME 2017 Set 2 (1)
GATE ME 2016 Set 1 (1)
GATE ME 2014 Set 1 (2)
GATE ME 2014 Set 2 (1)
GATE ME 2014 Set 3 (1)
GATE ME 2013 (1)
GATE ME 2012 (1)
GATE ME 2008 (1)
GATE ME 2005 (2)
GATE ME 2000 (1)
GATE ME 1998 (1)
GATE ME 1994 (1)
GATE ME Subjects
Engineering Mechanics
Strength of Materials
Theory of Machines
Engineering Mathematics
Machine Design
Fluid Mechanics
Turbo Machinery
Heat Transfer
Thermodynamics
Production Engineering
Industrial Engineering
General Aptitude