Differential Equations
$144.99
Explore the powerful world of differential equations and learn to model dynamic systems in physics, engineering, biology, and economics. This comprehensive course takes you from basic first-order equations to advanced techniques for solving complex systems that describe real-world phenomena.
What You'll Learn:
- First-Order Differential Equations: Separable, linear, and exact methods
- Second-Order Linear Equations: Homogeneous and non-homogeneous
- Laplace Transforms: Solving equations in the frequency domain
- Systems of Differential Equations: Matrix methods and phase portraits
- Series Solutions: Power series and Frobenius method
- Numerical Methods: Euler, Runge-Kutta, and computational approaches
- Partial Differential Equations: Heat, wave, and Laplace equations
- Applications: Modeling population dynamics, circuits, mechanics
Course Features:
- 75+ hours of in-depth video instruction
- 160+ solved problems with detailed explanations
- MATLAB and Python implementations
- Interactive visualizations of solutions
- Real-world modeling projects
- Comprehensive formula sheets
- Practice problems for each technique
- Certificate of completion
Who This Course Is For:
- Engineering students in all disciplines
- Physics and applied mathematics students
- Scientists modeling dynamic systems
- Anyone interested in mathematical modeling
- Students preparing for advanced mathematics courses