GATE MA 2024 Paper 1 — page 8

Questions 22–24 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 8 of 22

For the initial value problem

generate approximations

, for a fixed

and

, using the recursion formula

Which one of the following choices of

for the above recursion formula gives the Runge–Kutta method of order 2?

Your answerChoose one option.

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Let

be the solution of

Define

, for

. Which one of the following is correct?

Your answerChoose one option.

is decreasing on

and

is decreasing on

and

is increasing on

and

does not exist

is increasing on

and

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and

are two different solutions of the ordinary differential equation

then which one of the following is its general solution on

Your answerChoose one option.

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2024 · Paper 1