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Differential Equations Simulations
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Showing 11 of 11 simulations.
Statics simulation family
Differential Equations
First-Order DEs (Separable & Homogeneous) - Theory & Concepts - First Order Separable And Homogeneous
Introduction to Differential Equations, Initial Value Problems, Variable Separable method, and Homogeneous Differential Equations.
Open simulationExact & Linear Differential Equations - Theory & Concepts - Exact And Linear Equations
Solving First-Order DEs using Exactness, Integrating Factors, and Linear Methods (including Bernoulli's Equation).
Open simulationApplications of First-Order DEs - Theory & Concepts - Applications Of First Order Des
Practical applications including population growth, decay, Newton's Law of Cooling, mixing problems, electrical circuits, and falling bodies.
Open simulationHigher-Order Homogeneous DEs - Theory & Concepts - Higher Order Homogeneous Equations
Solving nth-order linear homogeneous differential equations with constant coefficients and Cauchy-Euler equations.
Open simulationHigher-Order Non-Homogeneous DEs - Theory & Concepts - Higher Order Non Homogeneous Equations
Solving non-homogeneous linear differential equations using Undetermined Coefficients and Variation of Parameters.
Open simulationApplications of Higher-Order DEs - Theory & Concepts - Applications Of Higher Order Des
Practical applications in mechanical and electrical systems, including Spring-Mass Systems, Pendulums, and RLC Circuits.
Open simulationSystems of Differential Equations - Theory & Concepts - Systems Of Des
Solving systems of linear differential equations using elimination, matrix methods (eigenvalues), and phase portrait analysis.
Open simulationLaplace Transforms - Theory & Concepts
Solving initial value problems using the Laplace Transform method, partial fraction decomposition, step functions, and Dirac delta.
Open simulationSeries Solutions - Theory & Concepts
Using power series methods, including Radius of Convergence and the Frobenius Method, to solve differential equations with variable coefficients.
Open simulationNumerical Methods for DEs - Theory & Concepts
Solving differential equations using numerical approximations, including Euler's method, Runge-Kutta methods, and error analysis.
Open simulationPartial Differential Equations - Theory & Concepts
Introduction to PDEs, classification, Separation of Variables, and solving the Heat, Wave, and Laplace equations.
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