• Unit 1
  • 1.1 Basic ODEs and Direction Fields
  • 1.2 Physics DE
  • Modeling ODES
  • Types of ODES
• Unit 2
  • 2.1 Differences between linear and non linear ODES
  • 2.2 Separable DES
  • 2.4 Differences between Linear and Non-linear
  • 2.5 Autonomous Equations
  • 2.6 Exact DE
  • Integrating factor
• Unit 3
  • 3.1 Second-order homogeneous Differential Equations
  • 3.2 The Wronskian and Superposition
  • 3.3 Complex Roots and Characteristic Equation
  • 3.4 Repeated Roots
  • 3.5 non homogeneous equations and method of undetermined coefficients
  • 3.6 Method of variation of parameters
  • 3.8 Mechanical and electrical vibrations
• Unit 4
  • 4.1 to 4.3 Higher-Order Differential Equations
• Unit 6
  • 6.1 Laplace Transform
  • 6.2 Solving IVT using LT
  • Heaviside step function
• Unit 7
  • 7.2 Linear Algebra Review
  • 7.3 Algebra stuff with ODE
  • 7.4 Basic theory systems of Linear ODE
  • 7.5 Homogeneous Linear Systems