GATE MA concept:cauchy-problem PYQs & Answers

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concept:cauchy-problem

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–3 of 3. Imported answers require independent review unless marked reviewed.

Topic practice 3 questionsPage 1 of 1

Consider the Cauchy problem

on the initial curve

. Consider the following statements:

: If

, then there exists a unique solution to the Cauchy problem in a neighborhood of

: If

, then there exist infinitely many solutions to the Cauchy problem in a neighborhood of

Then

Your answerChoose one option.

both

and

are TRUE

is FALSE and

is TRUE

is TRUE and

is FALSE

both

and

are FALSE

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is the solution for the Cauchy problem

then

is equal to

Your answerChoose one option.

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The Cauchy problem

with

, when solved using its characteristic equations with an independent variable

, is found to admit of a solution in the form

Then

Your answerChoose one option.

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GATE MA concept:cauchy-problem PYQs

How to practice concept:cauchy-problem

Question 39

Question 28

Question 10