GATE CE 1994 | GATE CE Year Wise Previous Years Questions

GATE CE 1994

MCQ (Single Correct Answer)

-0.6

The differential equation $${{{d^4}y} \over {d{x^4}}} + P{{{d^2}y} \over {d{x^2}}} + ky = 0\,\,$$ is

Linear of fourth order

Non - Linear of fourth order

Non - Homogeneous

Linear and fourth degree

GATE CE 1994

MCQ (Single Correct Answer)

-0.3

The necessary & sufficient condition for the differential equation of the form $$\,\,M\left( {x,y} \right)dx + N\left( {x,y} \right)dy = 0\,\,$$ to be exact is

$$M=N$$

$${{\partial M} \over {\partial x}} = {{\partial N} \over {\partial y}}$$

$${{\partial M} \over {\partial y}} = {{\partial N} \over {\partial x}}$$

$${{{\partial ^2}M} \over {\partial {x^2}}} = {{{\partial ^2}N} \over {\partial {y^2}}}$$

GATE CE 1994

MCQ (Single Correct Answer)

-0.3

The value of $$\varepsilon $$ in the mean value theoram of $$f\left( b \right) - f\left( a \right) = \left( {b - a} \right)\,\,f'\left( \varepsilon \right)$$ for $$f\left( x \right) = A{x^2} + Bx + C$$ in $$(a, b)$$ is

$$b + a$$

$$b - a$$

$${{b + a} \over 2}$$

$${{b - a} \over 2}$$

GATE CE 1994

Numerical

-0

The void ratio of a soil sample is 1. The corresponding porosity of the sample is _______.

Your input ____

GATE CE Papers

2024