1
GATE ME 2006
MCQ (Single Correct Answer)
+1
-0.3
For $$\,\,\,{{{d^2}y} \over {d{x^2}}} + 4{{dy} \over {dx}} + 3y = 3{e^{2x}},\,\,$$ the particular integral is
A
$${1 \over {15}}{e^{2x}}$$
B
$${1 \over {5}}{e^{2x}}$$
C
$$3{e^{2x}}$$
D
$${c_1}{e^{ - x}} + {c_2}{e^{ - 3x}}$$
2
GATE ME 2006
MCQ (Single Correct Answer)
+1
-0.3
The solution of the differential equation $${{dy} \over {dx}} + 2xy = {e^{ - {x^2}}}\,\,$$ with $$y(0)=1$$ is
A
$$\left( {1 + x} \right)\,\,{e^{{x^2}}}$$
B
$$\left( {1 + x} \right)\,\,{e^{ - {x^2}}}$$
C
$$\left( {1 - x} \right)\,\,{e^{{x^2}}}$$
D
$$\left( {1 - x} \right)\,\,{e^{ - {x^2}}}$$
3
GATE ME 2006
MCQ (Single Correct Answer)
+2
-0.6
If point A is in equilibrium under the action of the applied forces, the values of tensions and T AB and TAC are respectively. GATE ME 2006 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 33 English
A
520 N and 300 N
B
300 N and 520 N
C
450 N and 150 N
D
150 N and 450 N
4
GATE ME 2006
MCQ (Single Correct Answer)
+1
-0.3
For a Newtonian fluid:
A
shear stress is proportional to shear strain
B
rate of shear stress is proportional to shear strain
C
shear stress is proportional to rate of shear strain
D
rate of shear stress is proportional to rate of shear strain
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