GATE AE 2025 Paper 1 — page 15

Questions 43–45 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 15 of 22

Consider the ordinary differential equation:

. If

, then the value of

(rounded off to the nearest integer).

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An approximate solution of the equation

is to be obtained using the Newton-Raphson method. If the initial guess is

, the value at the end of the first iteration is

(rounded off to two decimal places).

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and

denote unit vectors in the

and

directions, respectively. The outward flux of the two-dimensional vector field

over the unit circle centered at the origin is

(rounded off to two decimal places).

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2025 · Paper 1