Differential Equations
The Language of Differential Equations
Slope Fields
Slope Field Grapher
Euler's Method Graphically
Euler's Method Analytically
Separation of Variables
Newton's Model of Cooling
Logistic Growth Model
Slope Fields
Slope Field Grapher
Euler's Method Graphically
Euler's Method Analytically
Separation of Variables
Newton's Model of Cooling
Logistic Growth Model
AP Calculus (BC) Topics
II. Derivatives
E. Application of Derivatives: Geometric interpretation of differential equations via slope fields and the relationship between slope fields and solution curves for differential equations. Numerical solution of differential equations using Euler's method.
III. Integrals
E. Applications of antidifferentiation: Solving separable differential equations and using them in modeling. In particular, studying the equation y' = ky and exponential growth. Solving logistic differential equations and using them in modeling.
II. Derivatives
E. Application of Derivatives: Geometric interpretation of differential equations via slope fields and the relationship between slope fields and solution curves for differential equations. Numerical solution of differential equations using Euler's method.
III. Integrals
E. Applications of antidifferentiation: Solving separable differential equations and using them in modeling. In particular, studying the equation y' = ky and exponential growth. Solving logistic differential equations and using them in modeling.