Warm Up. Solving Differential Equations General and Particular solutions.

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Presentation transcript:

Warm Up

Solving Differential Equations General and Particular solutions

A differential equation is an equation containing a derivative. We will start with a derivative and work backwards to the original equation.

Solve: The first step to solving any differential equation is to rewrite it so that each variable occurs only on one side of the equation. This is called separation of variables.

Find the general solution:

Find the particular solution. Differential Equation: Initial condition: (1,3) is a point on the curve Check your answer…

Find the particular solution. Differential Equation: Initial condition: (0,3) is a point on the curve

Find the particular solution. Differential Equation: Initial condition: y =1 when x = 0

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SOLUTION: