Exact Differential Equations

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Related lectures (35)

Implicit Function Theorem: Tangent Planes and Derivatives

Discusses the Implicit Function Theorem and its application to tangent planes and derivatives.

Canonical Transformations: Existence and Equations

Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.

Ordinary Differential Equations: Basics

Introduces the basics of ordinary differential equations, exploring existence, uniqueness, higher dimensions, Lipschitz functions, and solution finding.

Functions with Values in R^m

Explores functions with values in R^m, gradients, derivatives, and the Jacobian matrix in multiple dimensions.

Implicit Functions

Covers directional derivatives, implicit functions, and the concept of the maximum.

Canonical Transformations: Hamilton-Jacobi Equation

Explores canonical transformations, the Hamilton-Jacobi equation, symplectic groups, and differential equations in physics.

Linear Approximation and Derivative Parametric

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

First Order Differential Equation MOOC: Warm-up for EPFL

Covers first-order differential equations, including linear equations and applications in physics.

Tangent Planes and Implicit Functions Log in to Mediaspace to watch this video

Explores tangent planes, implicit functions, and directional derivatives in relation to graphs of functions.

Geometric Interpretation of Derivatives Log in to Mediaspace to watch this video

Explores the geometric interpretation of derivatives and properties of derivable functions.

Untitled Log in to Mediaspace to watch this video

Differential Equations: Implicit Function Theorem Applications Log in to Mediaspace to watch this video

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

Differential Equations: Speed Variation Analysis Log in to Mediaspace to watch this video

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

Differential Equations: Implicit Solutions Log in to Mediaspace to watch this video

Explores implicit solutions for differential equations and their applications in different scenarios.

Implicit Functions Theorem Log in to Mediaspace to watch this video

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

Partial Derivatives and Differential Equations Log in to Mediaspace to watch this video

Covers partial derivatives, differentiability, differential equations, sets properties, and local extrema verification.

Homogeneous Differential Equations Log in to Mediaspace to watch this video

Explores solving first-order homogeneous differential equations through variable changes and delves into the Bernoulli differential equation.

Numerical Analysis: Stability in ODEs Log in to Mediaspace to watch this video

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Ordinary Differential Equations: Definitions and Examples Log in to Mediaspace to watch this video

Covers ordinary differential equations, including orders, solutions, and separable equations, with a focus on examples and general solutions.

Implicit Functions Theorem Log in to Mediaspace to watch this video

Explores the Implicit Functions Theorem, demonstrating how to find solutions to equations like x²+y²=1 through implicit differentiation and function properties.

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