First Order Differential Equations

A first order differential equation is an equation involving the unknown function y, its derivative y' and the variable x. We will only talk about explicit differential equations

• Linear Equations
• Separable Equations
• Qualitative Technique: Slope Fields
• Equilibria and the Phase Line
• Bifurcations
• Bernoulli Equations
• Homogeneous Equations
• Exact and Non-Exact Equations
• Integrating Factor technique
• Some Applications
  • Radioactive Decay
  • Newton's Law of Cooling
  • Orthogonal Trajectories
  • Population Dynamics
• Numerical Technique: Euler's Method
• Existence and Uniqueness of Solutions
• Picard Iterative Process

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