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Differences Between Linear and Nonlinear Equations

Differences Between Linear and Nonlinear Equations. Linear Differential Equations. Linear Differential Equations. Example: dy/dt = sin(t) y + t. Example: dy/dt = y/(1-t). Theorem. Example. Nonlinear Differential Equation. Example: Non-Unique Solutions. Example: dy/dy=y^(1/3).

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Differences Between Linear and Nonlinear Equations

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  1. Differences Between Linear and Nonlinear Equations

  2. Linear Differential Equations

  3. Linear Differential Equations

  4. Example: dy/dt = sin(t) y + t

  5. Example: dy/dt = y/(1-t)

  6. Theorem

  7. Example

  8. Nonlinear Differential Equation

  9. Example: Non-Unique Solutions

  10. Example: dy/dy=y^(1/3)

  11. Example: Non-Unique Solutions

  12. Example: Hidden Discontinuities

  13. Example: dy/dt = y^2

  14. Example: Incomplete General Solution

  15. Example: Implicit Solutions

  16. Example: dy/dt = tan(t) y/(1+y)

  17. Theorem

  18. Example

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