Learn Differential Equations | Free Interactive Course - StudyGenius | StudyGenius

Learn Differential Equations the fun way

Solve equations that describe how quantities change over time and space.

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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.

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Course Overview

Course Overview: 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.


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.

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Quick rounds

Quick rounds

60–90 second matches that fit your schedule.

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Streaks & boosts

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Smart review

Smart review

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Understand first-order and higher-order differential equations.

Understand first-order and higher-order differential equations.

Apply analytical techniques such as separation of variables and Laplace transforms.

Apply analytical techniques such as separation of variables and Laplace transforms.

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Exam‑style questions with instant feedback.

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Learn Differential Equations