Master Integration with Differential Equations: In-Depth Course for Class 12 Maths and JEE Aspirants

Gain an unparalleled understanding of Integration and Differential Equations in this comprehensive course tailored for Class 12 students and JEE aspirants. Over 14 hours of detailed instruction covering all aspects from basic concepts to advanced applications, presented in an easily digestible format.
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Last Updated:December 28, 2023
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About Course

Embark on a thorough exploration of Integration and Differential Equations, two critical components in Class 12 Maths and vital for JEE preparation. This 14-hour course is expertly structured to deepen your understanding of differential equations formulas, methods of solving differential equations, and their diverse applications.

Dive into the intricacies of differential equations class 12, beginning with the fundamental concepts of order and degree of differential equations. Each session, from NCERT Exercise 9.1 to 9.6, is meticulously designed to enhance your grasp of first order differential equations and partial differential equations. The course is enriched with detailed examples and exercises, aligning with CBSE and JEE syllabi, making it a perfect fit for aspiring engineers and medical students.

Furthermore, the course includes practical sessions on the formation of differential equations, variable separable methods, and more advanced topics like homogeneous differential equations and Bernoulli’s equation. We also emphasize the real-world applications of differential equations, bridging theoretical concepts with practical applications.

This course is not just about learning differential equations; it’s about mastering them. With our dedicated mentorship and interactive teaching style, every student is assured of a personalized learning experience, making complex concepts more approachable.

The course includes engaging video sessions on differential equations covering fundamental topics according to the Class 12 curriculum; here’s a brief overview of the chapters that will be covered:

  • Order And Degree of Differential Equations
  • General and Particular Solution
  • Formation of Differential Equations
  • Solution of Differential Equations By Variable Separable Method
  • Homogeneous Differential Equations
  • Linear Differential Equations
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What I will learn?

  • Fundamental understanding of differential equations and their significance in Class 12 Maths and JEE syllabus.
  • Mastery of differential equations formulas and methods of solving differential equations.
  • In-depth knowledge of first order differential equations and linear differential equations.
  • Techniques for forming and solving various types of differential equations.
  • Practical applications of differential equations in real-world scenarios.
  • Enhanced problem-solving skills with a focus on NCERT exercises and JEE-level questions.

Course Curriculum

Order And Degree of Differential Equations
Understanding the Order and Degree of Differential Equations is pivotal for mastering the fundamentals of differential equations. This lesson focuses on how to identify the order and degree in various types of differential equations, a key skill for students preparing for CBSE, ICSE, and JEE exams.

  • Order And Degree of Differential Equations
    48:56

General and Particular Solution
General and Particular Solution of Differential Equations delves into the concepts of complete solution sets and specific solutions tailored to initial conditions. Essential for CBSE, ICSE, and JEE aspirants, this lesson equips students with the skills to distinguish and apply these crucial mathematical solutions.

Formation of Differential Equations
In this session, we will learn about the Formation of Differential Equations. We'll learn how to construct differential equations from given information or scenarios. This skill is critical for understanding how differential equations represent real-world phenomena and for developing the ability to create equations based on specific conditions.

Solution of Differential Equations By Variable Separable Method
Solution of Differential Equations by Variable Separable Method focuses on a key technique for solving differential equations. This lesson guides students through separating variables to find solutions, an essential skill for CBSE, ICSE, and JEE mathematics, enhancing their analytical and problem-solving abilities.

Homogeneous Differential Equations
Homogeneous Differential Equations explores a specific category of differential equations characterized by their uniform behavior. This lesson is vital for students targeting CBSE, ICSE, and JEE exams, as it enhances their understanding and ability to solve homogeneous differential equations effectively.

Linear Differential Equations
Linear Differential Equations provides a comprehensive look into equations of first order and first degree. It's a fundamental topic for CBSE, ICSE, and JEE aspirants, enhancing their understanding of linear equations' structure and methods to find their solutions efficiently.

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Requirements

  • Basic knowledge of Class 11 Maths concepts.
  • Familiarity with earlier chapters of Class 12 Maths.
  • Enthusiasm for solving complex mathematical problems.
  • Dedication to complete the course and practice the exercises.
  • A commitment to consistent learning and application of concepts.
  • Access to Class 12 Maths textbooks for reference and additional practice.

Instructor

Tarique Anwar
Tarique Anwar
Mathematics Instructor
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Free access this course

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