Solutions of Differential Equations

Related lectures (28)

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Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.

Discusses the reduction of higher-order differential equations to first-order systems using the implicit function theorem.

Covers the solution of differential equations with initial conditions and limit analysis.

Covers Fourier series, periodic functions, and Fourier transforms.

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

Covers the Cauchy problem, focusing on differential equations and the role of initial conditions in determining unique solutions.

Covers the Cauchy problem in differential equations, focusing on initial conditions and their impact on solution uniqueness.

Covers the statement of the Bernoulli's Hospital Rule and its application.

Presents the solution to finding the second-order Taylor polynomial of a function.