1
GATE CE 1995
MCQ (Single Correct Answer)
+2
-0.6
The solution of a differential equation $${y^{11}} + 3{y^1} + 2y = 0$$ is of the form
A
$${c_1}{e^x} + {c_2}{e^{2x}}$$
B
$${c_1}{e^{ - x}} + {c_2}{e^{3x}}$$
C
$${c_1}{e^{ - x}} + {c_2}{e^{ - 2x}}$$
D
$${c_1}{e^{ - 2x}} + {c_2}{2^{ - x}}$$
2
GATE CE 1995
Subjective
+1
-0
Let $$\,\,f\left( x \right) = x - \cos \,x.\,\,\,$$ Using Newton-Raphson method at the $$\,{\left( {n + 1} \right)^{th}}$$ iteration, the point $$\,{x_{n + 1}}$$ is computed from $${x_n}$$ as
3
GATE CE 1995
MCQ (Single Correct Answer)
+1
-0.3
The inverse Laplace transform of $${{\left( {s + 9} \right)} \over {\left( {{s^2} + 6s + 13} \right)}}$$ is
A
$$\cos \,2t + 9\,\sin \,2t$$
B
$${e^{ - 3t}}\,\cos 2t - 3\,{e^{ - 3t}}\sin \,2t$$
C
$${e^{ - 3t}}\,\sin 2t + 3\,{e^{ - 3t}}\cos \,2t$$
D
$${e^{ - 3t}}\,\cos 2t + 3\,{e^{ - 3t}}\sin \,2t$$
4
GATE CE 1995
MCQ (Single Correct Answer)
+1
-0.3
Aeolian Soils are
A
Residual Soils
B
Wind deposits
C
Gravity desposits
D
Water deposits
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