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Solve the differential equation.$ (e^y - 1)y' = 2 + \cos x $

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Calculus 2 / BC

Chapter 9

Differential Equations

Section 3

Separable Equations

Harvey Mudd College

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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Solve the differential equ…

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Solve the given differenti…

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this question asks us to solve the differential equation. Eat of the Y minus one times why one which we can write his D y over DX is equivalent to two plus co sign X. Now we know that we want the wise on one side and the exes on one side. So in other words, we need to bring DX over to this side. We bring it over to the right hand side by multiplying book sides by Deac Sweet cancels off from the left. As you can see I'm doing right now. Take the integral of both sides Integrate left hand side to be e the y minus y on the right hand side were adding a variable 2 to 2 acts, plus integral of Cosa nexus, sign axe and then plus C or constant of integration.

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