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Differential Equations

Differential Equations. AP Calculus Mrs. Mongold. What is a Diff EQ?. A differential equation is an equation containing derivatives or differentials. A relation such that:. How to solve a diff eq. Use a technique called: separation of variables Separate the variables

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Differential Equations

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  1. Differential Equations AP Calculus Mrs. Mongold

  2. What is a Diff EQ? • A differential equation is an equation containing derivatives or differentials. • A relation such that:

  3. How to solve a diff eq • Use a technique called: separation of variables • Separate the variables • Integrate both sides with respect to their variables • Solve for the constant if a condition is given.

  4. Separable Differential Equations A separable differential equation can be expressed as the product of a function of x and a function of y. Example: Multiply both sides by dx and divide both sides by y2 to separate the variables. (Assume y2 is never zero.)

  5. Separable Differential Equations A separable differential equation can be expressed as the product of a function of x and a function of y. Example: Combined constants of integration

  6. If y(1) = 1/3

  7. If y(0) = 2

  8. Homework • Worksheet

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