1
GATE ME 1996
+1
-0.3
The one dimensional heat conduction partial difference equation $$\,\,{{\partial T} \over {\partial t}} = {{{\partial ^2}T} \over {\partial {x^2}}}\,\,$$ is
A
parabolic
B
hyperbolic
C
elliptic
D
mixed
2
GATE ME 1995
+1
-0.3
The solution to the differential equation $$\,{f^{11}}\left( x \right) + 4{f^1}\left( x \right) + 4f\left( x \right) = 0$$
A
$${f_1}\left( x \right) = {e^{ - 2x}}$$
B
$${f_1}\left( x \right) = {e^{2x}},\,\,{f_2}\left( x \right) = {e^{ - 2x}}$$
C
$${f_1}\left( x \right) = {e^{ - 2x}},\,\,{f_2}\left( x \right) = x{e^{ - 2x}}$$
D
$${f_1}\left( x \right) = {e^{ - 2x}},\,\,{f_2}\left( x \right) = {e^{ - x}}$$
3
GATE ME 1995
True or False
+1
-0
A differential equation of the form $${{dy} \over {dx}} = f\left( {x,y} \right)\,\,$$ is homogeneous if the function $$f(x,y)$$ depends only on the ratio $${y \over x}$$ (or) $${x \over y}$$
A
TRUE
B
FALSE
4
GATE ME 1994
+1
-0.3
For the differential equation $$\,\,{{dy} \over {dt}} + 5y = 0\,\,$$ with $$y(0)=1,$$ the general solution is
A
$${e^{5t}}$$
B
$${e^{ - 5t}}$$
C
$$5$$ $${e^{ - 5t}}$$
D
$${e^{\sqrt { - 5t} }}$$
GATE ME Subjects
EXAM MAP
Medical
NEET