6.1 – 6.3 Differential Equations

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Presentation transcript:

6.1 – 6.3 Differential Equations

Solution equation: y or f (x) Differential Equation: An equation which has terms that could include the function (y) and its derivatives (dy/dx or y). Solution equation: y or f (x)

Need to: Create a slope field Match y OR dy/dx to the slope field

Ex 1: Create a slope field for the differential equation:

Need to: Sketch the function (y) given the slope field and an initial condition Find y using separation of variables

Seperable Differential Equations

Ex 2: Find the solution equation for the differential equation:

Ex 3: Find the particular solution equation for the differential equation given the initial condition f (1) = 1: