Differential Equations Courses and Certifications

NPTEL-NOC IITM

Solving Differential Equations Using MATLAB

Solve differential equations using MATLAB.

• YouTube
• 1 hour 28 minutes
• Self-Paced
• Free Video

Math with Professor V

Applications of Nonlinear Differential Equations - Logistic Growth Model - Lesson 3.3

Use the logistic growth model to solve population problems and predict sizes, with comparisons to the law of natural growth.

• YouTube
• 32 minutes
• Self-Paced
• Free Video

Math with Professor V

Differential Equations: Transforms of Derivatives, Convolution Theorem and More - Part 1

Learn how the convolution theorem simplifies inverse Laplace transforms, alongside derivative transforms and worked examples.

• YouTube
• 32 minutes
• Self-Paced
• Free Video

Differential Equations

Exam-focused review of ordinary and partial differential equations, including solved methods, existence and uniqueness, Wronskians, Sturm–Liouville problems, and wave equations.

• YouTube
• 7 hours
• Self-Paced
• Free Video

First-Order Differential Equations

Discover how First-Order Differential Equations are used to solve real-world problems in engineering, physics, biology, and more.

• OpenLearning
• 10 hours
• Self-Paced
• Paid Course

Differential Equations Part I Basic Theory

1442 ratings at Coursera

Solve first- and second-order ordinary differential equations, learn the underlying theory, and apply the methods to mathematical modeling problems.

• Coursera
• 9 weeks, 2 hours a week
• Self-Paced
• Paid Course

Tutorials for Complex Systems

25 ratings

This course covers several mathematical techniques that are frequently used in complex systems science. The techniques are covered in independent units, taught by different instructors.

• Complexity Explorer
• Self-Paced
• Free Online Course

Transfer Functions and the Laplace Transform

Move between time and frequency domains with the Laplace transform: build a computational toolbox, read pole diagrams of transfer functions, and model feedback loops and delta functions.

• MITx Online
• Self-Paced
• Free Online Course

Differential Equations

2 ratings

This course focuses on the equations and techniques most useful in science and engineering, Differential equations.

• MIT OpenCourseWare
• 31 hours
• Self-Paced
• Free Video

Differential Equations Part II Series Solutions

14 ratings at Coursera

Solve differential equations with series: Euler equations, power series about ordinary points, the Frobenius theorem, second solutions, Bessel functions, and Legendre polynomials.

• Coursera
• 7 weeks, 2 hours a week
• Self-Paced
• Paid Course

Differential Equations Part III Systems of Equations

14 ratings at Coursera

Solve systems of linear differential equations and analyze the stability of autonomous systems, using matrix methods and the underlying theory alongside practical applications.

• Coursera
• 6 weeks, 2 hours a week
• Self-Paced
• Paid Course

IIT Roorkee;  NPTEL

Mathematical Methods and its Applications

Solve engineering problems using linear ODEs and first-order PDEs, Laplace and Z-transforms, Fourier series, integrals and transforms, including boundary value problem applications.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

Birla Institute Of Technology And Science–Pilani (BITS–Pilani)

Differential Equations and Applications

Solve first- and higher-order ODEs using separable, exact and undetermined-coefficient methods, Laplace transforms, Fourier series, Sturm-Liouville problems and matrix methods for linear systems.

• Coursera
• 10 weeks, 3 hours a week
• Self-Paced
• Paid Course

University of Huddersfield

Differential Equations & Advanced Applications

Solve first-order and second-order linear ODEs using integrating factors and characteristic equations, apply initial and boundary conditions, and compute partial derivatives of multivariable functions.

• Coursera
• 4 weeks, 2 hours a week
• Self-Paced
• Paid Course

Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra

Analyze complex variables, solve linear differential equations with Laplace transforms, and apply vector spaces, eigenvectors, determinants, and orthogonal functions.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course