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Differential Equations

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Presentation on theme: "Differential Equations"— Presentation transcript:

1 Differential Equations

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 wrt 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


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