1
GATE ME 2005
MCQ (Single Correct Answer)
+2
-0.6
Which of the following is a solution of the differential equation $$\,{{{d^2}y} \over {d{x^2}}} + p{{dy} \over {dx}} + \left( {q + 1} \right)y = 0?$$ Where $$p=4, q=3$$
A
$${e^{ - 3x}}$$
B
$$x{e^{ - x}}$$
C
$$x$$ $${e^{ - 2x}}$$
D
$${x^2}\,{e^{ - 2x}}$$
2
GATE ME 2005
MCQ (Single Correct Answer)
+2
-0.6
The complete solution of the ordinary differential equation $${{{d^2}y} \over {d\,{x^2}}} + p{{dy} \over {dx}} + qy = 0$$ is $$\,y = {c_1}\,{e^{ - x}} + {C_2}\,{e^{ - 3x}}\,\,$$ then $$p$$ and $$q$$ are
A
$$p=3, q=3$$
B
$$p=3, q=4$$
C
$$p=4, q=3$$
D
$$p=4, q=4$$
3
GATE ME 2005
MCQ (Single Correct Answer)
+1
-0.3
Using given data points tabulated below, a straight line passing through the origin is fitted using least squares method. The slope of the line is GATE ME 2005 Engineering Mathematics - Probability and Statistics Question 32 English
A
$$0.9$$
B
$$1$$
C
$$1.1$$
D
$$1.5$$
4
GATE ME 2005
MCQ (Single Correct Answer)
+2
-0.6
A single die is thrown two times. What is the probability that the sum is neither $$8$$ nor $$9?$$
A
$${1 \over 9}$$
B
$${5 \over 36}$$
C
$${1 \over 4}$$
D
$${3 \over 4}$$
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