Introduction | 1 | Handouts | 3-4 |

Fundamentals of Differential Equation | 2 | Handouts | 5-8 |

Separable Equations | 3 | Handouts | 9-17 |

Homogeneous Differential Equations | 4 | Handouts | 18-25 |

Exact Differential Equations | 5 | Handouts | 26-33 |

Integrating Factor Technique | 6 | Handouts | 34-43 |

First Order Linear Equations | 7 | Handouts | 44-50 |

Bernoulli Equations and Practice Examples | | Handouts | 51-77 |

Applications of First Order Differential Equations | 10 | Handouts | 78-88 |

Radioactive Decay | 11 | Handouts | 89-94 |

Application of Non Linear Equations | 12 | Handouts | 95-102 |

Higher Order Linear Differential Equations | 13 | Handouts | 95-102 |

Solution of Higher Order Linear Differential Equations | 14 | Handouts | 103-126 |

Construction of a Second Solution | 15 | Handouts | 127-133 |

Homogeneous Linear Equations with Constant Coefficients | 16 | Handouts | 134-144 |

Method of Undetermined Coefficients Superposition Approach | 17 | Handouts | 145-158 |

Undetermined Coefficient Annihilator Operator Approach | 18 | Handouts | 159-179 |

Undetermined Coefficient Annihilator Operator Approach | 19 | Handouts | 159-179 |

Variation of Parameters | 20 | Handouts | 180-189 |

Variation of Parameters Method for Higher-Order Equations | 21 | Handouts | 190-198 |

Applications of Second Order Differential Equation | 22 | Handouts | 199-209 |

Damped Motion | 23 | Handouts | 210-223 |

Forced Motion | 24 | Handouts | 210-223 |

Examples of Forced Motion | 25 | Handouts | 224-240 |

Differential Equations with Variable Coefficients | 26 | Handouts | 241-247 |

Cauchy-Euler Equation: Alternative Method of Solution | 27 | Handouts | 248-254 |

Power Series | 28 | Handouts | 255-270 |

Power Series | 29 | Handouts | 255-270 |

Solution about Ordinary Points | 30 | Handouts | 271-277 |

Solution about Singular Points | 31 | Handouts | 278-295 |

Solution about Singular Points | 32 | Handouts | 278-295 |

Bessel’s Differential Equation | 33 | Handouts | 296-304 |

Legendre’s Differential Equation | 34 | Handouts | 305-314 |

Systems of Linear Differential Equations | | Handouts | 315-332 |

Systems of Linear First-Order Equation | 37 | Handouts | 333-343 |

Introduction to Matrices | 38 | Handouts | 344-362 |

The Eigenvalue Problem | 39 | Handouts | 363-370 |

Matrices and Systems of Linear First-Order Equations | 40 | Handouts | 371-388 |

Matrices and Systems of Linear First-Order Equations | 41 | Handouts | 371-388 |

Homogeneous Linear Systems | 42 | Handouts | 389-401 |

Real and Repeated Eigenvalues | 43 | Handouts | 402-413 |

Non-Homogeneous System | 44 | Handouts | 414-427 |