Differential Equations

About the Differential Equations book

Differential Equations is a mathematics textbook for students who meet this subject in a college or university course. A differential equation connects an unknown function with its derivatives, and this branch of mathematics sits at the heart of physics, engineering, chemistry, biology and economics. If you are looking for a book on Differential Equations to study from, practise with and revise from, this title is a sensible addition to your shelf. Please message us on WhatsApp at 9906523492 for details of the copy in stock, including the author, publisher and edition.

Lafz Bookstore in Srinagar keeps a wide range of mathematics and college books so that students in Kashmir and across India can order what they need without travelling far.

Why Differential Equations matter

Almost every quantity that changes in the real world is described by a rate of change. How fast a population grows, how a hot cup of tea cools, how a spring moves, how current flows in a circuit and how a drug spreads through the body are all modelled by differential equations. This is why the subject appears in mathematics, physics, engineering and many applied sciences. A student who understands Differential Equations gains a tool that is used far beyond the classroom.

Topics students usually meet in this subject

Courses on Differential Equations generally begin with ordinary differential equations and move step by step towards harder ideas. The following topics are commonly taught in the subject, and you can use them as a checklist while you study:

• The meaning of order, degree, solution and initial value in a differential equation
• First order equations, including separable, homogeneous, exact and linear types
• Second order linear equations with constant coefficients
• Methods such as variation of parameters and undetermined coefficients
• Series solutions and special functions in more advanced courses
• Laplace transforms as a tool for solving equations
• Systems of equations and an introduction to partial differential equations

Syllabi differ from one university to another, so please check your own course outline and compare it with the contents page of the copy you choose. If you send us the name of your course on WhatsApp, we will help you with the copy in stock.

How to study Differential Equations effectively

Mathematics is learned with a pencil in hand. Reading a solved example is useful, but the real learning begins when you close the book and solve it again on your own. Use the following habits to get the most out of this book:

• Read the definition and the theorem first, then study the worked examples slowly.
• Copy each example on a fresh page and solve it without looking.
• Learn to identify the type of equation before choosing a method, because most mistakes come from using the wrong method.
• Keep a short formula sheet for integrating factors, standard integrals and the common solution forms.
• Practise a few problems every day instead of many problems the night before the exam.
• Check each answer by differentiating it and putting it back into the equation.

Who should read this book

• Undergraduate students of mathematics, physics and engineering
• Students preparing for semester examinations in Differential Equations
• Candidates who want to revise basic mathematics for postgraduate entrance or competitive tests
• Teachers and tutors who want a reference with solved problems for classroom use
• Self learners who want to understand how mathematics describes change

Making the most of practice problems

A good habit is to divide your practice into three rounds. In the first round, solve the easy problems to build confidence and speed. In the second round, attempt the mixed problems where you must decide the method yourself. In the third round, return to the questions you got wrong and write down why you made the mistake. Over a few weeks, this simple routine makes the subject far less frightening. Study with a friend whenever possible, because explaining a method to someone else shows quickly whether you have understood it.

Where the subject leads

Once you are comfortable with ordinary differential equations, you are ready for partial differential equations, mathematical modelling, dynamical systems and numerical methods. Engineers meet these ideas in control systems, vibrations and heat transfer, while physicists meet them in mechanics, electricity and quantum theory. A solid base in this subject therefore pays off for many years after the course is over.

Edition details

Title: Differential Equations. Subject: Mathematics. For the author, publisher, edition and number of pages of the copy in stock, please message us on WhatsApp at 9906523492. Same-day dispatch from Srinagar. Delivery takes about 1 day in Srinagar and 3 to 10 days across the rest of India.

Frequently asked questions

What is this book about? It is a mathematics book on Differential Equations, the study of equations that involve a function and its derivatives.

Is it suitable for self study? Yes, as long as you practise the problems yourself. Check that the contents match your own course outline.

Does it follow my university syllabus? Syllabi vary, so compare the contents page with your syllabus before ordering. We are happy to help you on WhatsApp.

How quickly will it reach me? We dispatch the same day from Srinagar. Delivery is about 1 day in Srinagar and 3 to 10 days in the rest of India.

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