Differential Equations: Solutions and Monotonicity

Related lectures (29)

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

Covers Fourier series, periodic functions, and Fourier transforms.

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

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

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

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

Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.

Demonstrates the practical application of theorems in calculus through two clever examples.

Covers the fundamentals of calculus, focusing on derivatives and integrals.

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