Differential Equations Courses and Certifications

The Organic Chemistry Tutor

Bernoulli's Equation for Differential Equations

Introduction to solving Bernoulli's equation in differential equations, covering standard form, integrating factors, and general solutions with examples and practice problems.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Professor Leonard

Existence and Uniqueness of Solutions - Differential Equations

Explore existence and uniqueness of differential equation solutions, covering key concepts like continuity, neighborhoods, and initial values. Learn to determine when solutions exist and are unique.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Professor Leonard

Differential Equations with Velocity and Acceleration

Explore the application of differential equations to velocity and acceleration problems, enhancing your understanding of motion and physics concepts.

• YouTube
• 44 minutes
• On-Demand
• Free Video

Gautam Varde

Power Series Method for Series Solutions of Differential Equations

Learn to find power series solutions for differential equations through clear examples and step-by-step explanations of the numerical method.

• YouTube
• 13 minutes
• On-Demand
• Free Video

Complexity Explorer

Introduction to Differential Equations

Master the fundamentals of differential equations through derivatives, computational methods, and qualitative solutions with self-guided quizzes and practical applications.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Michael Penn

Finding a Taylor Series Using Differential Equations

Explore an innovative approach to deriving Taylor series using differential equations, offering a fresh perspective on this fundamental mathematical concept.

• YouTube
• 24 minutes
• On-Demand
• Free Video

Steve Brunton

Runge-Kutta Integrator Overview - All Purpose Numerical Integration of Differential Equations

Comprehensive introduction to Runge-Kutta schemes for numerical integration of differential equations, covering RK2 and RK4 methods with intuitive explanations and visual representations.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Steve Brunton

Numerical Simulation of Ordinary Differential Equations - Integrating ODEs

Explore numerical integration of ODEs to analyze nonlinear systems and generate trajectories. Learn techniques for solving complex dynamics where analytic methods fall short.

• YouTube
• 24 minutes
• On-Demand
• Free Video

Steve Brunton

High-Order Ordinary Differential Equations with More Derivatives - From Physics

Explore derivation of higher-order differential equations from F=ma, focusing on spring-mass systems. Learn to chain simple systems for complex equations in physics.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Steve Brunton

Partial Differential Equations Overview

Explore the mathematical language of physical phenomena with an overview of partial differential equations, covering canonical PDEs, linear superposition, and nonlinear PDEs like Burgers Equation.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Professor Leonard

Harvesting Populations in Differential Equations

Explore the impact of harvesting and stocking on logistic and explosion/extinction differential equations in population dynamics.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Professor Leonard

Stability of Critical Points - Differential Equations

Explore critical points in differential equations to determine solution behavior, enhancing your understanding of stability and general solution characteristics.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video

Professor Leonard

Population Growth and Decline - Differential Equations

Explore population dynamics through differential equations, examining growth and decline models before delving into harvesting concepts.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

Professor Leonard

Using Partial Fractions in Differential Equations

Learn to apply partial fractions in solving differential equations, focusing on separation of variables techniques. Enhance your problem-solving skills in advanced calculus.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Professor Leonard

Birth Rates and Death Rates in Differential Equations

Explore how birth and death rates impact population growth through differential equation modeling, enhancing understanding of demographic dynamics.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video