Key Takeaways
Lesson Description
Key Takeaways
• Differential equations relate functions and their derivatives.
• Separation of Variables solves many differential equations.
• Slope fields visualize solution behavior.
• Euler's Method approximates solutions numerically.
• Exponential growth and decay are modeled using differential equations.
Must Know Equations
dy/dx = ky
Euler's Method:
yₙ₊₁ = yₙ + f(x,y)Δx
Must Know Vocabulary
Differential Equation
Slope Field
Euler's Method
Separation of Variables
Exponential Growth
Exponential Decay
AP Exam Focus
• Interpret slope fields.
• Approximate solutions using Euler's Method.
• Solve separable differential equations.