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GATE EC 2021: Engineering Mathematics Quiz 9 (App update required to attempt this test)

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Question 1

Let the input be

and the output be

of a system, and the other parameters are real constants. Identify which among the following systems is not a linear system:

Question 2

what will be the integrating factor for the differential equation

Question 3

The position of a particle

is described by the differential equation:

The initial conditions are and The position (accurate to two decimal places) of the particle at is _____________.

Question 4

The ordinary differential equation

Is to be solved using the forward Euler method. The largest time step that can be used to solve the equation without making the numerical solution unstable is______

Question 5

If u = sin (x² + y²) where a²x² + b²y² = c² & x and y both are variablethen value of (du/dx) will be?

Question 6

Consider the differential equation
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-3_files\image099.png$ .
Given x(0) = 20 and x(1) = 10/e, where e = 2.718, the value of x(2) is ________.

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ESE & GATE EC Engineering Mathematics

Nov 5ESE & GATE EC