Differential Equations

By : Mohd. Irshad

Updated : Feb 17, 2021, 9:13

Differential equations Questions form an integral part of many examinations. Differential equations GATE EE questions are designed to test your math knowledge and application for the entrance exam. Differential Equations MCQ questions hold significant weightage in GATE, JEE, COMED-K, NTSE, and other entrance exams, including CBSE and State Board examinations. 

Most differential equations online tests will present you with multiple answer type questions. You will have to pick the answer after solving the equation using the principles learnt during preparation. Before attempting the GATE examination, aspirants must be well-versed with differential equations syllabus for GATE.

Important Topics for Differential equations for GATE EE

The types of differential equations topics for GATE EE and differential equations for computer science include:

Topic

Explanation

First-Order Equations

A first-order differential equation is an equation. xt = f(t, xt−1), where f is a function of two variables. 

Higher Order Linear Differential Equations With Constant Coefficients

y(n)(x)+a1y(n−1)(x)+⋯+an−1y′(x)+any(x)=0, where a1,a2,…,a.n are constants which may be real or complex. 

Initial And Boundary Value Problems

In a differential equation the function and derivatives are specified at different points, which are the boundary values. 

Laplace Transforms

A powerful integral transform used to switch a function from the time domain to the s-domain. Used to solve linear differential equations with given initial conditions.

Heat, Wave and Laplace's Equations

To represent the motion of waves and diffusion of heat as partial differential equations, PDEs, using basic physical laws. 

Tips to Solve Differential equations Questions for GATE EE

There is no shortcut to practising when it comes to differential equations. You can find several Differential Equations notes for GATE EE pdf online, which you must solve in order to improve your accuracy and speed in the examination. Some tips you can keep in mind when solving a differential equations quiz are:

  1. Solve by applying the options in the answers to see which one satisfies the equation in the question.
  2. Special differential equations like Bernoulli’s Equation and Euler Differential Equation should be memorized.
  3. Learn the concepts of existence of a solution and uniqueness theorem.
  4. Work with differential equations study material for GATE EE. Solve differential equations MCQ pdf before the examination to increase your speed.

Importance of Differential equations in GATE Exam

Differential equations questions are part of the math section, which is an important part of several entrance examinations, including GATE.

  • Once you master differential equations, the questions are high-scoring on competitive exams.
  • Learning differential equations will help you master other calculus questions.
  • Differential equations questions count for 28 of the 145 questions in the math section of the GATE examination.
  • Differential equations are used to model physical problems like identifying the behaviour of systems.

Most Recommended Books for Differential equations for GATE EE

There are many differential equations books and practice books you can refer to when preparing for competitive exams. Several differential equations gate questions and answers pdf can be found online to help you prepare for GATE. Differential equations notes for EE are valuable for good preparation for GATE. Here is a list of highly recommended books that are based on the differential equations GATE syllabus.

Book Name

Author Name

 

Advanced Differential Equations

M.D.Raisinghania

Advanced Engineering Mathematics

H K Dass

GATE Mathematics

Dr. N. K. Singh

GATE 2021 - Guide - General Aptitude & Engineering Mathematics

GK Publication

GATE + PSU Engineering Mathematics Exercise Book

Mr. Mohan Pudi, Mr. Santhosh Kumar Gondhi, Mr. Sourabh Chouhan

GATE Study Material Ordinary Differential Equations

Panel of Experts

Why prepare for Differential equations from BYJU'S Exam Prep?

BYJU'S Exam Prep offers differential equations mock tests, quizzes, books, and other preparatory material to aspirants looking to score well in the math section of competitive examinations. BYJU'S Exam Prep’s mock tests are based on the structure of the exams, which is crucial for efficient preparation. The mentors at BYJU'S Exam Prep are proactive and are available to answer and clear any queries and doubts.The BYJU'S Exam Prep community is a platform designed to help you to solve differential equations’ questions, take online tests, quizzes, and much more BYJU'S Exam Prep’s streamlined approach gives students the opportunity to monitor their performance with differential equations.

  • Preparatory materials
  • Mock tests
  • Mentors
  • Student community

Differential equations can be mastered by practising with good study materials. Learning the concepts behind the questions is crucial if you want to score well. Working and studying with fellow GATE aspirants can help you learn the concepts and increase your accuracy.

Frequently Asked Questions

Q. What are differential equations questions?

It is the relation among differential coefficient, independent variable, and dependent variable. It is used in various concepts that extend beyond theoretical mathematics

Q. Are differential equations questions hard to solve?

Differential equations have a reputation for being hard to solve. However, this is not true. You can solve most differential equations by practising with the appropriate study materials

Q. What are the applications of differential equations?

Differential equations are used in many fields. They are used to model the behaviour of complex systems

Q. What is the difference between order and a degree in differential equations?

Differential equations derive the function f(x). The order depends on the derivative of the highest order in the equation. The degree is determined by the highest exponent on any variables involved

Q. Is differential equation questions a part of calculus?

The theory of calculus includes both differentiation and integration. They are the inverse of each other.