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Sketch a direction field for the differential equation. Then use it to sketch three solution curves.$ y' = 1 + y $
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Calculus 2 / BC
Chapter 9
Differential Equations
Section 2
Direction Fields and Euler's Method
Baylor University
University of Nottingham
Boston College
Lectures
13:37
A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders. An ordinary differential equation (ODE) is a differential equation containing one or more derivatives of a function and their rates of change with respect to the function itself; it can be used to model a wide variety of phenomena. Differential equations can be used to describe many phenomena in physics, including sound, heat, electrostatics, electrodynamics, fluid dynamics, elasticity, quantum mechanics, and general relativity.
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Sketch a direction field f…
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$9-10$ Sketch a direction …
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