1
GATE ME 1994
Subjective
+1
-0
Find out the eigen value of the matrix $$A = \left[ {\matrix{ 1 & 0 & 0 \cr 2 & 3 & 1 \cr 0 & 2 & 4 \cr } } \right]$$ for any one of the eigen values, find out the corresponding eigen vector?
2
GATE ME 1994
Fill in the Blanks
+1
-0
The value of $$\int\limits_0^\infty {{e^{ - {y^3}}}.{y^{1/2}}} $$ dy is _________.
3
GATE ME 1994
True or False
+1
-0
If $$H(x, y)$$ is homogeneous function of degree $$n$$ then $$x{{\partial H} \over {\partial x}} + y{{\partial H} \over {\partial y}} = nH$$
A
TRUE
B
FALSE
4
GATE ME 1994
MCQ (Single Correct Answer)
+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
$${e^{\sqrt { - 5t} }}$$
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12