1
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 $${{{d^2}y} \over {d{x^2}}} = 3x - 2$$
2
GATE CE 1998
Subjective
+2
-0
Solve $${{{d^4}y} \over {d{x^4}}} - y = 15\,\cos \,\,2x$$
3
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,
4
GATE CE 1996
Subjective
+2
-0
Solve $${{{d^4}v} \over {d{x^4}}} + 4{\lambda ^4}v = 1 + x + {x^2}$$
Questions Asked from Differential Equations (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE CE Subjects
Construction Material and Management
Geomatics Engineering Or Surveying
Engineering Mechanics
Transportation Engineering
Strength of Materials Or Solid Mechanics
Reinforced Cement Concrete
Steel Structures
Environmental Engineering
Engineering Mathematics
Structural Analysis
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude