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Related lectures (24)

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Scalar Linear Higher Order ODEs

Covers scalar linear higher order ODEs, focusing on properties of solutions and the superposition principle.

Linear Independence: Definition and Examples

Explores the concept of linear independence in vector spaces through definitions and illustrative examples.

Linear Independence and Basis

Explains linear independence, basis, and matrix rank with examples and exercises.

Bernoulli Differential Equations: Historical Insights and Solutions

Discusses Bernoulli differential equations, their historical context, and methods for solving them, emphasizing the importance of linear algebra concepts in understanding these equations.

Transformations and Inversions: Laplace and Fourier

Discusses Laplace and Fourier transformations, focusing on their inversion formulas and applications in solving differential equations.

Linear Differential Equations: Methods and Solutions

Covers methods for solving first-order linear ordinary differential equations.

Generalization of Change of Basis Matrices

Covers linear algebra basics, including matrices, change of basis, and invertible matrices.

Linear Equations and Vector Spaces

Explores solutions of linear equations, null spaces, subspaces, vector spaces, linear independence, bases, and dimensions.

Linear Algebra: Systems of Linear Equations

Introduces linear algebra concepts, focusing on solving systems of linear equations and their representations.

System of Linear 1st Order ODEs

Explores the system of linear first order ODEs and scalar linear ODEs with examples and solutions.