GATE EE Differential equations PYQs & Answers

Home
GATE
Electrical Engineering
Topics
Differential equations

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 1–9 of 9. Imported answers require independent review unless marked reviewed.

Topic practice 9 questionsPage 1 of 1

Consider the following differential equation:

Which one of the following options is correct?

Your answerChoose one option.

It is a linear differential equation

It is a nonlinear differential equation

It is a time-invariant differential equation

It is a second-order partial differential equation

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider the second-order differential equation

with initial conditions

The solution is given by

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider ordinary differential equations given by

with initial conditions

and

, then at

__________ (round off to the nearest integer).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Which of the following differential equations is/are nonlinear?

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

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

In the following differential equation, the numerically obtained value of y(t), at t = 1, is __________ (Round off to 2 decimal places).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider the initial value problem below. The value of y at

, (rounded off to 3 decimal places) is ____________.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The partial differential equation

; where

is known as

Your answerChoose one option.

heat equation

wave equation

Poisson’s equation

Laplace equation

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider the differential equation

with

. There exists a unique solution for this differential equation when

belongs to the interval

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Only one of the real roots of

lies in the interval

and bisection method is used to find its value. For achieving an accuracy of 0.001, the required minimum number of iterations is _________.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE EE Differential equations PYQs

How to practice Differential equations

Question 14

Question 50

Question 54

Question 45

Question 34

Question 16

Question 3

Question 27

Question 42