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Differential Equations
Solve equations that describe how quantities change over time and space.
Topics
Exam‑style questions with instant feedback.
Section 1: First-Order Differential Equations
Section 2: Second-Order Linear ODEs
Section 3: Systems of Linear ODEs
Section 4: Laplace Transforms
Section 5: Power Series Methods for ODEs
Section 6: Boundary Value Problems and Advanced Topics
What you’ll achieve
Understand first-order and higher-order differential equations.
Apply analytical techniques such as separation of variables and Laplace transforms.
Solve systems of linear differential equations in engineering and science contexts.
Explore numerical methods for complex problem-solving.
Develop practical skills for modelling dynamic systems in real-world applications.
Course overview
Everything you need to excel in Differential Equations
Differential Equations introduces methods for modelling and solving equations involving derivatives. Students study first-order and higher-order differential equations, linear systems, and applications in physics, engineering, and biology. The course emphasises analytical techniques, including separation of variables, integrating factors, and Laplace transforms, as well as numerical methods for solving complex problems. By linking theory with practical examples, learners develop the skills to model dynamic systems, predict behaviour, and solve real-world problems using differential equations.
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