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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). - PowerPoint PPT Presentation
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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)
Example: Non-Unique Solutions
Example: Hidden Discontinuities
Example: dy/dt = y^2
Example: Incomplete General Solution
Example: Implicit Solutions
Example: dy/dt = tan(t) y/(1+y)
Theorem
Example
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