Difference Equation vs Differential Equation: How Are They Similar? How Are They Different?

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Both the difference equation and the differential equation can be solved by educated guessing.

#differentialequations #linearalgebra #DynamicalSystem

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(0:00) Solve the difference equation y_n = 0.5*y_{n-1}, y_0 = 2
(3:09) Check the solution
(5:46) y_n = n^2 is NOT a solution
(8:03) Solve the differential equation dy/dt = 0.5*y, y(0) = 2
(9:23) Check the solution
(10:17) General solution vs unique solution of initial-value problem
(10:42) Similarities and differences between the solutions of the discrete vs. continuous problems
(12:03) Discrete vs Continuous Dynamical Systems

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  1. Bill Kinney
  2. difference equations
  3. differential equations
  4. difference vs differential
  5. equations
  6. difference equation vs differential equation
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Great video Professor 🤙
The real time explanation really helps me a lot.

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