Top Videos on Differential Equations for Class 12 Applied Mathematics by PW

Differential Equations involve several steps, from identifying the order and degree to choosing a suitable method for solving an equation. You also need to understand how to form equations by eliminating arbitrary constants and verify whether a given function satisfies an equation. Remembering the methods is easier when you practise them through examples.

PW offers lessons on PW Class 12 Commerce Wallah for different stages of your preparation, including a complete NCERT chapter explanation, a concept-focused Applied Mathematics session and a board exam revision class. These three videos help you revisit essential concepts, practise common question types and prepare for your Class 12 Applied Mathematics examination.

Video 1. Learn Differential Equations with a Complete NCERT Chapter One-Shot

This one-shot covers the Class 12 NCERT Differential Equations chapter, starting with the meaning and types of differential equations, order, degree and cases where degree is undefined.

It then moves to equation formation, the relationship between order and arbitrary constants, solution verification, variable separation, linear equations, homogeneous equations, substitution and reducible forms. NCERT examples and exercises provide opportunities to apply these concepts through questions.

Use this video if you need to study the chapter from the beginning or revise its major concepts in one session. Follow each worked example and practise the corresponding method independently. This can help you recognise different equation types and recall the steps required to solve them during board exam preparation.

Video 2: Understand Differential Equations Methods in Applied Mathematics

This lesson introduces Differential Equations in Class 12 Applied Mathematics through the syllabus and prerequisite concepts. It covers ordinary and partial differential equations, order, degree and cases where degree is undefined.

You also learn about solution verification, forming equations by eliminating arbitrary constants, families of curves, general and particular solutions, variable separation and finding a particular solution using a given point. Worked examples connect the concepts with their applications.

Choose this video if you are learning the chapter for the first time or need to revisit concepts that you find difficult. Pay attention to the difference between forming a differential equation and solving one. Practising both processes can help you identify the correct steps when answering questions in school tests and board examinations.

Video 3: Revise Differential Equations with NCERT and Board Exam Questions

This revision lesson focuses on important Differential Equations concepts and board-level practice. It revisits definitions, order, degree, equation formation and solution verification, followed by applications involving families of circles, parabolas and hyperbolas.

The session also covers variable separation, general and particular solutions, and important board questions. This combination helps you review key methods while practising the types of problems you may encounter in written examinations.

Use this video when you have already studied the chapter and want to revise before your board exam. Attempt the questions yourself before following the solutions, and note any steps where you make repeated errors. Revisiting these areas can help you improve accuracy and recall while preparing under limited study time.

How These Videos Help in Differential Equations Preparation

Choose a lesson based on the stage of your preparation:

• For complete chapter learning: Start with the NCERT one-shot to cover definitions, formation, verification and solution methods.

• For understanding Applied Mathematics concepts: Watch the second lesson to revise prerequisites, distinguish equation types and practise general and particular solutions.

• For board exam revision: Use the third video to revisit important concepts and practise board-level Class 12 Previous Year Questions.

After watching each lesson, solve questions without looking at the examples. Practise identifying the order and degree, forming equations by eliminating arbitrary constants, verifying solutions and applying the appropriate solving method. This will help you identify weak areas and revise them before your Class 12 Applied Mathematics board examination.