1
GATE EE 2023
Numerical
+1
-0.33
In the following differential equation, the numerically obtained value of $$y(t)$$, at $$t=1$$ is ___________ (Round off to 2 decimal places).
$${{dy} \over {dt}} = {{{e^{ - \alpha t}}} \over {2 + \alpha t}},\alpha = 0.01$$ and $$y(0) = 0$$
Your input ____
2
GATE EE 2012
MCQ (Single Correct Answer)
+1
-0.3
With initial condition $$x\left( 1 \right)\,\,\, = \,\,\,\,0.5,\,\,\,$$ the solution of the differential equation, $$\,\,\,t{{dx} \over {dt}} + x = t\,\,\,$$ is
3
GATE EE 2011
MCQ (Single Correct Answer)
+1
-0.3
With $$K$$ as constant, the possible solution for the first order differential equation $${{dy} \over {dx}} = {e^{ - 3x}}$$ is
4
GATE EE 2005
MCQ (Single Correct Answer)
+1
-0.3
The solution of the first order differential equation $$\mathop x\limits^ \bullet \left( t \right) = - 3\,x\left( t \right),\,x\left( 0 \right) = {x_0}\,\,\,\,$$ is
Questions Asked from Differential Equations (Marks 1)
Number in Brackets after Paper Indicates No. of Questions
GATE EE Subjects
Electromagnetic Fields
Signals and Systems
Engineering Mathematics
General Aptitude
Power Electronics
Power System Analysis
Analog Electronics
Control Systems
Digital Electronics
Electrical Machines
Electric Circuits