1
GATE EE 2008
MCQ (Single Correct Answer)
+2
-0.6
A differential equation $${{dx} \over {dt}} = {e^{ - 2t}}\,\,u\left( t \right)\,\,$$ has to be solved using trapezoidal rule of integration with a step size $$h=0.01$$ sec. Function $$u(t)$$ indicates a unit step function. If $$x(0)=0$$ then the value of $$x$$ at $$t=0.01$$ sec will be given by
A
$$0.00099$$
B
$$0.00495$$
C
$$0.0099$$
D
$$0.0198$$
2
GATE EE 1998
MCQ (Single Correct Answer)
+2
-0.6
The value of $$\,\,\,\int\limits_1^2 {{1 \over x}\,\,\,dx\,\,\,\,} $$ computed using simpson's rule with a step size of $$h=0.25$$ is
A
$$0.69430$$
B
$$0.69385$$
C
$$0.69325$$
D
$$0.69415$$
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