GATE IN Differential equations PYQs & Answers

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 1–8 of 8. Imported answers require independent review unless marked reviewed.

Topic practice 8 questionsPage 1 of 1

Given a differential equation

with

. Which of the following statements is/are true?

Your answerSelect all correct options. You can choose more than one.

for all

, for some real constant

for all

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The solution of the differential equation

represents

Your answerChoose one option.

a hyperbola

a parabola

an ellipse

a circle

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The solution of an ordinary differential equation

Given

and

, the value of

is ________ (rounded off to nearest integer).

Note:

and

are constants.

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The solution

, to the differential equation

with initial conditions

and

Your answerChoose one option.

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Consider the differential equation

, then

is ______

Your answerChoose one option.

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Consider the recursive equation

, with initial condition

and

being a very small valued scalar. This recursion numerically solves the ordinary differential equation _____.

Your answerChoose one option.

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Consider the differential equation

, with the initial condition

. The solution to this ordinary differential equation is ____

Your answerChoose one option.

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The curve

is such that the tangent to the curve at every point

has a Y-axis intercept

, given by

. Then,

is proportional to

Your answerChoose one option.

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GATE IN Differential equations PYQs

How to practice Differential equations

Question 54

Question 12

Question 64

Question 20

Question 45

Question 2

Question 27

Question 26