GATE CE 1997 | GATE CE Year Wise Previous Years Questions

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GATE CE 1997

MCQ (Single Correct Answer)

-0.3

For the differential equation $$f\left( {x,y} \right){{dy} \over {dx}} + g\left( {x,y} \right) = 0\,\,$$ to be exact is

$$\,{{\partial f} \over {\partial y}} = {{\partial g} \over {\partial x}}$$

$${{\partial f} \over {\partial x}} = {{\partial g} \over {\partial y}}$$

$$f=g$$

$${{{\partial ^2}f} \over {\partial {x^2}}} = {{{\partial ^2}g} \over {\partial {y^2}}}$$

GATE CE 1997

MCQ (Single Correct Answer)

-0.6

The differential equation $${{dy} \over {dx}} + py = Q,$$ is a linear equation of first order only if,

$$P$$ is a constant but $$Q$$ is a function of $$y$$

$$P$$ and $$Q$$ are functions of $$y$$ (or) constants

$$P$$ is a function of $$y$$ but $$Q$$ is a constant

$$P$$ and $$Q$$ are functions of $$x$$ (or) constants

GATE CE 1997

MCQ (Single Correct Answer)

-0.3

$${e^z}$$ is a periodic with a period of

$$2\pi $$

$$2\pi i$$

$$\pi $$

$$i\pi $$

GATE CE 1997

MCQ (Single Correct Answer)

-0.3

Alkalinity of water can be defined correctly in one of the following ways

it is the measure of ability of water to neutralize oxygen

it is the measure of ability of water to neutralize carbonates

it is the presence of ions in water that will neutralize hydrogen ions

it is the measure of ability of water to neutralize hydroxides

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