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# ESE Achiever's plan || Paper 1 || Differential Equations

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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

Consider the differential equation .
Given x(0) = 20 and x(1) = 10/e, where e = 2.718, the value of x(2) 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?
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