1
GATE ME 2024
Numerical
+2
-1.33
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 Subjects
Engineering Mechanics
Machine Design
Strength of Materials
Heat Transfer
Production Engineering
Industrial Engineering
Turbo Machinery
Theory of Machines
Engineering Mathematics
Fluid Mechanics
Thermodynamics
General Aptitude