Differential Equations

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Presentation transcript:

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 Integrate both sides with respect to their variables Solve for the constant if a condition is given.

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.)

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

If y(1) = 1/3

If y(0) = 2

Homework Worksheet