U7: Differential Equations

Differential Equations (Separate the Integral)

Example: dy/dx = (e3x)/3y2

Differential Equation with Initial Condition

Example:

The slope of a curve at each point (x,y) is given by 2cosx-x. Which of the following is an equation of the curve if its graph passes through the point (0,1)?

Slope Field

A visual depiction of a differential equation of dy/dx.

● Example of what a slope field looks like: