1
GATE CE 2004
MCQ (Single Correct Answer)
+2
-0.6
Biotransformation of an organic compound having concentration $$(x)$$ can be modeled using an ordinary differential equation $$\,{{d\,x} \over {dt}} + k\,{x^2} = 0,$$ where $$k$$ is the reaction rate constant. If $$x=a$$ at $$t=0$$ then solution of the equation is
2
GATE CE 2001
MCQ (Single Correct Answer)
+2
-0.6
The solution for the following differential equation with boundary conditions $$y(0)=2$$ and $$\,\,{y^1}\left( 1 \right) = - 3$$ is where $${{{d^2}y} \over {d{x^2}}} = 3x - 2$$
3
GATE CE 1998
Subjective
+2
-0
Solve $${{{d^4}y} \over {d{x^4}}} - y = 15\,\cos \,\,2x$$
4
GATE CE 1997
MCQ (Single Correct Answer)
+2
-0.6
The differential equation $${{dy} \over {dx}} + py = Q,$$ is a linear equation of first order only if,
Questions Asked from Differential Equations (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE CE Subjects
Engineering Mechanics
Strength of Materials Or Solid Mechanics
Structural Analysis
Construction Material and Management
Reinforced Cement Concrete
Steel Structures
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
Engineering Mathematics
General Aptitude