Mathematics
Differential Equations Mastery
Master ODEs - From Confusion to Confidence
"Differential equations clicked for me when I stopped memorizing methods and started understanding why they work. That's the approach in this course."
$4.95
This course includes:
- 35 interactive lessons
- 100+ practice problems with solutions
- 6 module checkpoint quizzes
- Differential Equations Formula Sheet included
- Lifetime access
What You'll Learn
Classify and solve first-order ODEs
Solve second-order linear ODEs with constant coefficients
Use the Laplace transform method
Analyze systems of differential equations
Apply ODEs to real engineering problems
Understand existence and uniqueness of solutions
Course Content
6 modules
22 lessons
12 hours total
Introduction to Differential Equations
What is a Differential Equation?
Free
12 min
Solutions and Initial Conditions
Free
15 min
Direction Fields & Qualitative Analysis
12 min
Verification of Solutions
10 min
Module Checkpoint Quiz
12 min
First-Order ODEs: Separable & Linear
Separable Equations
18 min
First-Order Linear Equations
20 min
Applications: Growth & Decay
15 min
Exact Equations
18 min
Module Checkpoint Quiz
15 min
Second-Order Linear ODEs
Homogeneous Equations: The Characteristic Equation
20 min
Non-Homogeneous: Undetermined Coefficients
22 min
Variation of Parameters
20 min
Applications: Vibrations & Circuits
18 min
Module Checkpoint Quiz
15 min
Laplace Transforms
Introduction to Laplace Transforms
18 min
Solving IVPs with Laplace
20 min
Partial Fractions Review
15 min
Step Functions and Discontinuities
18 min
Module Checkpoint Quiz
12 min
Systems of ODEs
Introduction to Systems
15 min
Eigenvalue Method
22 min
Phase Portraits
15 min
Module Checkpoint Quiz
12 min
Review & Applications
Method Selection Guide
15 min
Engineering Applications
15 min
Formula Summary
15 min
Module Checkpoint Quiz
25 min
Requirements
- Calculus I & II (derivatives and integrals)
- Basic linear algebra helpful
- No prior differential equations knowledge needed
Who This Is For
- Engineering students taking Differential Equations
- Students preparing for the FE exam
- Anyone who needs to understand ODEs for their field
30-Day Money-Back Guarantee
If you're not satisfied with the course for any reason, just email us within 30 days of purchase and we'll refund you in full. No questions asked.