1
GATE CE 2010
MCQ (Single Correct Answer)
+2
-0.6
The solution to the ordinary differential equation $${{{d^2}y} \over {d{x^2}}} + {{dy} \over {dx}} - 6y = 0\,\,\,$$ is
A
$$y = {C_1}\,{e^{3x}} + {C_2}\,{e^{ - 2x}}$$
B
$$y = {C_1}\,{e^{3x}} + {C_2}\,{e^{2x}}$$
C
$$y = {C_1}\,{e^{ - 3x}} + {C_2}\,{e^{2x}}$$
D
$$y = {C_1}\,{e^{ - 3x}} + {C_2}\,{e^{ - 2x}}$$
2
GATE CE 2010
MCQ (Single Correct Answer)
+1
-0.3
The partial differential equation that can be formed from $$z=ax+by+ab$$ has the form $$\,\,\left( {p = {{\partial z} \over {\partial x}},q = {{\partial z} \over {\partial y}}} \right)\,\,$$
A
$$z=px+qy$$
B
$$z=px-qy$$
C
$$z=px+qy+pq$$
D
$$z=qy+pq$$
3
GATE CE 2010
MCQ (Single Correct Answer)
+2
-0.6
The table below gives values of a function $$f(x)$$ obtained for values of $$x$$ at intervals of $$0.25$$

The value of the integral of the function between the limits $$0$$ to $$1,$$ using Simpson's rule is

A
$$0.7854$$
B
$$2.3562$$
C
$$3.1416$$
D
$$7.5000$$
4
GATE CE 2010
MCQ (Single Correct Answer)
+1
-0.3
The modulus of the complex number $${{3 + 4\,i} \over {1 - 2\,i}}$$ is
A
$$5$$
B
$$\sqrt 5$$
C
$${1 \over {\sqrt 5 }}$$
D
$${1 \over 5}$$
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