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Differential Equations

Engineering Mathematics

Previous Years Questions

Marks 1

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The figure shows the plot of $$y$$ as a function of $$x$$ The function shown in the solution of the differential equa...
GATE IN 2014
The type of the partial differential equation $${{\partial f} \over {\partial t}} = {{{\partial ^2}f} \over {\partial {...
GATE IN 2013
With initial condition $$x\left( 1 \right)\,\,\, = \,\,\,\,0.5,\,\,\,$$ the solution of the differential equation, $$\,\...
GATE IN 2012
Consider the differential equation $${{dy} \over {dx}} + y = {e^x}$$ with $$y(0)=1.$$ Then the value of $$y(1)$$ is
GATE IN 2010
Consider the differential equation $${{dy} \over {dx}} = 1 + {y^2}.$$ Which one of the following can be particular sol...
GATE IN 2008
The general solution of the differential equation $$\left( {{D^2} - 4D + 4} \right)y = 0$$ is of the form (given $$D = ...
GATE IN 2005

Marks 2

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The maximum value of the solution $$y$$ $$(t)$$ of the differential equation $$\,\,y\left( t \right) + \mathop y\limits^...
GATE IN 2013
Consider the differential equation $$\mathop y\limits^{ \bullet \bullet } + 2\,\mathop y\limits^ \bullet + y = 0\,\...
GATE IN 2011
For initial value problem $$\,\mathop y\limits^{ \bullet \bullet } + 2\,\mathop y\limits^ \bullet + \left( {101} \ri...
GATE IN 2006

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