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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
.
Given x(0) = 20 and x(1) = 10/e, where e = 2.718, the value of x(2) is ________.
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