Georgia HomeroomDE.AR.2First-Order Differential Equations
Solve contextual, mathematical problems involving first-order differential equations to explain real-life phenomena.
Appears in: Mathematics, High School
Expectations
Solve and use first order differential equations.
DE.AR.2.1Classify differential equations by order and linearity.
DE.AR.2.2Solve separable differential equations for general solutions and initial value problems.
DE.AR.2.3Solve first-order linear differential equations and initial value problems using integrating factors.
DE.AR.2.4Use modeling or numerical methods to approximate solutions of first-order differential equations in context.
DE.AR.2.5Draw direction fields containing solutions curves for first-order differential equations by hand and using modeling.
DE.AR.2.6Solve first-order linear differential equations that apply to various real-world models including falling bodies, mixtures, population and the logistic equation, continuously compounded interest, and other physics applications.
Georgia Milestones coverage
No Georgia Milestones blueprint cites this standard.