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Differential Equations

₹320.00

A Differential Equations course tailored for the Graduate Aptitude Test for Engineering (GATE) provides a comprehensive understanding of ordinary and partial differential equations with a focus on engineering applications. The course typically begins with the basics of first-order ordinary differential equations and their solutions, including the separation of variables and integrating factors. Higher-order linear differential equations and systems of differential equations are introduced, emphasizing methods such as undetermined coefficients and variation of parameters. Laplace transforms are covered for solving linear differential equations, offering a powerful tool in engineering analysis.

 

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The course extends to partial differential equations (PDEs), including methods for solving the heat equation, wave equation, and Laplace’s equation. Applications in engineering contexts such as heat conduction, fluid flow, and structural mechanics are emphasized. Computational methods, often using tools like MATLAB or Python, may be integrated to reinforce theoretical concepts and enhance problem-solving skills. The goal is to equip engineering graduate students with a strong foundation in differential equations, preparing them for the mathematical challenges in advanced engineering coursework and applications within the GATE examination and in their future engineering practice.

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