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1
GATE CE 2023 Set 1
Numerical
+1
-0
In the differential equation $\frac{dy}{dx}+\alpha\ x\ y =0, \alpha$ is a positive constant. If y = 1.0 at x = 0.0, and y = 0.8 at x = 1.0, the value of α is ________ (rounded off to three decimal places).
Your input ____
2
GATE CE 2022 Set 2
MCQ (Single Correct Answer)
+1
-0.33

The function f(x, y) satisfies the Laplace equation

$$\Delta$$2f(x, y) = 0

on a circular domain of radius r = 1 with its center at point P with coordinates x = 0, y = 0. The value of this function on the circular boundary of this domain is equal to 3. The numerical value of f/(0, 0) is :

A
1
B
0
C
2
D
3
3
GATE CE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The solution of the equation $$\,{{dQ} \over {dt}} + Q = 1$$ with $$Q=0$$ at $$t=0$$ is
A
$$Q\left( t \right) = {e^{ - t}} - 1$$
B
$$\,Q\left( t \right) = 1 + {e^{ - t}}$$
C
$$Q\left( t \right) = 1 - {e^t}$$
D
$$Q\left( t \right) = 1 - {e^{ - t}}$$
4
GATE CE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Consider the following second $$-$$order differential equation : $$\,y''\,\, - 4y' + 3y = 2t - 3{t^2}\,\,\,$$
The particular solution of the differential equation is
A
$$ - 2 - 2t - {t^2}$$
B
$$ - 2t - {t^2}$$
C
$$2t - 3{t^2}$$
D
$$ - 2 - 2t - 3{t^2}$$
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Construction Material and Management
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Levelling Traversing Theodolites and Plane Table Surveying Measurement of Area, Volume and Theory of Errors and Survey Adjustment Field Astronomy and Photogrammetric Surveying Basics of GIS, GPS and Remote Sensing Angular Measurements and Compass Survey Basic Concepts Linear Measurements and Chain Survey
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Sources and Coveyances Water Quality Control of Water Treatment of Water Water Demand Waste Water Characteristics Treatment of Sewage Disposal of Sewage Effluent Solid Waste Management Air Pollution Noise Pollution
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