1
GATE CE 2007
MCQ (Single Correct Answer)
+2
-0.6
The solution for the differential equation $$\,{{d\,y} \over {d\,x}} = {x^2}\,y$$ with the condition that $$y=1$$ at $$x=0$$ is
2
GATE CE 2005
MCQ (Single Correct Answer)
+2
-0.6
Transformation to linear form by substituting $$v = {y^{1 - n}}$$ of the equation $${{dy} \over {dt}} + p\left( t \right)y = q\left( t \right){y^n},\,\,n > 0$$ will be
3
GATE CE 2005
MCQ (Single Correct Answer)
+2
-0.6
The solution $${{{d^2}y} \over {d{x^2}}} + 2{{dy} \over {dx}} + 17y = 0;$$ $$y\left( 0 \right) = 1,{\left( {{{d\,y} \over {d\,x}}} \right)_{x = {\raise0.5ex\hbox{$\scriptstyle \pi $}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 4$}}}} = 0\,\,$$ in the range $$0 < x < {\pi \over 4}$$ is given by
4
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
Questions Asked from Differential Equations (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE CE 2024 Set 1 (1)
GATE CE 2016 Set 1 (1)
GATE CE 2015 Set 2 (1)
GATE CE 2015 Set 1 (1)
GATE CE 2014 Set 2 (1)
GATE CE 2012 (1)
GATE CE 2010 (1)
GATE CE 2007 (1)
GATE CE 2005 (2)
GATE CE 2004 (1)
GATE CE 2001 (1)
GATE CE 1998 (1)
GATE CE 1997 (1)
GATE CE 1996 (1)
GATE CE 1995 (1)
GATE CE 1994 (1)
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