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6.1 – 6.3 Differential Equations

6.1 – 6.3 Differential Equations. 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.

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6.1 – 6.3 Differential Equations

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  1. 6.1 – 6.3 Differential Equations

  2. 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)

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

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

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

  6. Seperable Differential Equations

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

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

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