GATE EE 2005 | Differential Equations Question 16 | Engineering Mathematics

GATE EE 2005

MCQ (Single Correct Answer)

-0.3

The solution of the first order differential equation $$\mathop x\limits^ \bullet \left( t \right) = - 3\,x\left( t \right),\,x\left( 0 \right) = {x_0}\,\,\,\,$$ is

$$x\left( t \right) = {x_0}\,{e^{ - 3\,t}}$$

$$x\left( t \right) = {x_0}\,{e^{ - 3\,}}$$

$$x\left( t \right) = {x_0}\,{e^{ - t\,3}}$$

$$x\left( t \right) = {x_0}\,{e^{ - t\,}}$$

GATE EE 1995

MCQ (Single Correct Answer)

-0.3

If at every point of a certain curve , the slope of the tangent equals $${{ - 2x} \over y},$$ the curve is _______.

A straight line

A parabola

A circle

An Ellipse

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