Differential Equation – A Definitive Guide

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About Course

Unleash the power of differential equations to solve real-world problems!

Differential equations (DEs) are the language of change, describing how systems evolve over time. From population growth to electrical circuits, rocket trajectories to heat flow, DEs are the mathematical backbone of countless scientific and engineering disciplines. Mastering DEs equips you with a powerful tool set to analyze intricate relationships, predict future behavior, and design optimal solutions.
This comprehensive course, meticulously crafted for both theoretical understanding and practical application, is your definitive guide to conquering the world of DEs. Whether you’re a math enthusiast, a budding scientist, or an engineer yearning to unlock the secrets of complex systems, this course will empower you to:
  • Grasp the fundamentals: Dive deep into first- and second-order equations, unraveling their linear and non-linear properties.
  • Tackle real-world challenges: Model diverse phenomena using DEs, employing techniques like Euler’s method and exploring captivating applications like electrical circuits and spring-mass systems.
  • Master advanced techniques: Delve into the realm of series solutions, Laplace transforms, and systems of DEs, equipping yourself with powerful tools for tackling even the most challenging problems.
  • Conquer higher-order equations and delve into partial differential equations (PDEs): Expand your horizon by analyzing multi-variable phenomena with advanced techniques like Fourier series and separation of variables.

Why take this course?

  • Comprehensive and in-depth: We cover all the essential topics you need to become a differential equations master, from basic concepts to cutting-edge techniques.
  • Intuitive and engaging: Learn through crystal-clear explanations, engaging visuals, and interactive exercises that solidify your understanding.
  • Practice-oriented: Dive into real-world applications and hone your problem-solving skills through challenging practical exercises.
  • Expert-led: Learn from seasoned instructors with deep expertise in DEs and a passion for making this captivating subject accessible to everyone.

How will I benefit from this course?

  • Master a fundamental mathematical tool: Gain a powerful skill set applicable to diverse scientific and engineering fields.
  • Boost your problem-solving skills: Develop critical thinking and analytical abilities that go beyond just solving equations.
  • Deepen your understanding of scientific phenomena: Gain a new perspective on how the world around you works, from population growth to the behavior of physical systems.
  • Become a sought-after talent: Equip yourself with a highly valuable skill set that sets you apart in the job market.
Invest in your future, conquer the calculus of change, and unlock the power of differential equations with this comprehensive and engaging course. Enroll today and embark on your journey to mastering DEs!
Ready to take the plunge? Click the “Enroll Now” button and begin your differential equations adventure!
Remember, this course comes with a full satisfaction guarantee. If you’re not completely satisfied, we offer a 30-day money-back guarantee.
Don’t wait, enroll today and start mastering the language of change!
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What Will You Learn?

  • First order equations
  • Second order equations
  • Modeling with differential equations
  • Series solutions
  • Laplace transforms
  • Systems of differential equations
  • Higher order equations
  • Fourier series
  • Partial differential equations

Course Content

1. Preliminary Ideas

  • 1.1 Brushing Up!
    24:09
  • 1.2 Integration By Substitution
    04:13
  • 1.3 Integration By Parts
    07:34
  • 1.4 Integration By Partial Fraction
    17:02

2. Introduction

3. Formation of Differential Equations

4. Solution of a Differential Equation

5. Initial Value Problems

6. Geometrical Interpretation

7. Existence and Uniqueness of Solutions

8 Introduction to First Order Linear Differential Equation

9. Method of Variable Separation

10. Homogeneous Differential Equation

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