1 
Introduction to Differential Equations and the MATLAB® ODE Suite

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2 
Overview of Differential Equations

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3 
The Calculus You Need

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4 
Response to Exponential Input

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5 
Response to Oscillating Input

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6 
Solution for Any Input

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7 
Step Function and Delta Function

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8 
Response to Complex Exponential

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9 
Integrating Factor for Constant Rate

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10 
The Logistic Equation

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11 
The Stability and Instability of Steady States

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12 
Separable Equations

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13 
Second Order Equations

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14 
Forced Harmonic Motion

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15 
Unforced Damped Motion

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16 
Impulse Response and Step Response

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17 
Exponential Response — Possible Resonance

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18 
Second Order Equations with Damping

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19 
Electrical Networks Voltages and Currents

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20 
Method of Undetermined Coefficients

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21 
An Example of Undetermined Coefficients

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22 
Variation of Parameters

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23 
Laplace Transform First Order Equation

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24 
Laplace Transform Second Order Equation

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25 
Laplace Transforms and Convolution

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