GATE PI 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 1–10 of 14. Imported answers require independent review unless marked reviewed.

Topic practice 14 questionsPage 1 of 2

, and the value of

is 2, then the value of

is _____ (rounded off to two decimal places).

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denotes the Laplace transform of some function

, then the Laplace transform of

, where

is a real constant, is

Your answerChoose one option.

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Which one of the following equations is a linear differential equation?

Your answerChoose one option.

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The solution of the linear differential equation

when

, is

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The following differential equation governs the evolution of variable

with time

Given the initial conditions

and

, the value of

is __________. (Rounded off to 3 decimal places)

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The non-linear differential equation from the following options is

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The order of the following differential equation is____________. [in integer]

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Consider the following ordinary differential equation:

Given that

and

are constants, the general solution of the differential equation is

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An integrating factor for the differential equation

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General solution of

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GATE PI Differential Equations PYQs

How to practice Differential Equations

Question 60

Question 13

Question 14

Question 36

Question 46

Question 12

Question 24

Question 37

Question 2

Question 26