Linear Differential Equations: Methods and Solutions

Related lectures (20)

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Discusses ordinary differential equations, focusing on initial conditions and methods for finding solutions.

Demonstrates the process of solving a Cauchy problem for a differential equation with specific initial conditions.

Covers linear differential equations of the second order with constant coefficients, focusing on solution methods for various discriminant cases.

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

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

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

Covers the analysis of speed variation using differential equations and small time intervals.

Discusses methods for solving differential equations, focusing on undetermined coefficients and variation of constants.

Covers linear differential equations, focusing on solutions, the Wronskian, and methods for solving non-homogeneous equations.

Explores the resolution of differential equations and the properties of exponential functions in electrical engineering.