Blue part is out of 50 Green part is out of 50  Total of 100 points possible.

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Presentation transcript:

Blue part is out of 50 Green part is out of 50  Total of 100 points possible

Differential Equations Remember: A differential equation is an equation that involves a function and some of its derivatives. A separable equation can be written  To solve, we treat as a fraction.  Put the y’s on the left with dy, put x’s on the right with dx, and integrate each side.

Ex. Let, find the general solution.

Ex. Solve

Pract. 1) 2)

Def. An initial value problem (IVP) is a differential equation and a value of the solution.

Ex. Solve the IVP if.

Important: A solution must be a function that is differentiable over the largest interval containing the initial value and that satisfies the original differential equation. Ex. Find the solution to if y (3) = -4