GATE AE topic:differential-equations PYQs & Answers — Page 3

Questions 21–23 of 23. Imported answers require independent review unless marked reviewed.

Topic practice 23 questionsPage 3 of 3

Consider the initial value problem:

and

are the Laplace transforms of

and

respectively, then

is given by:

Your answerChoose one option.

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Let

denote the displacement of a point on a rod. The displacement satisfies the following equation of motion:

with

;

. The value of

is ________ (in three decimal places).

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The equation

has a solution

that is:

Your answerChoose one option.

A polynomial in

Finite series in terms of non-integer fractional powers of

Consists of negative integer powers of

and logarithmic function of

Consists of exponential functions of

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GATE AE topic:differential-equations PYQs