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Solve the differential equation.$ y' + xe^y = 0 $

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Calculus 2 / BC

Chapter 9

Differential Equations

Section 3

Separable Equations

Missouri State University

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

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 us is to solve the differential equation. Why one plus X each the power of why is equivalent to zero first things first. We want to write this in terms of D y DX. We know why one is the same thing as D y detox. This is set equal to negative X each the why it's negative because we'll bring it over to the right hand side. Now we know we want to write this just with the wise on one side and the exes on one side. So do a little bit of manipulation to write. Eat the negative Y Do y is equivalent to negative acts. D Backs again acts on one side, wise on one side. Take the integral of both sides and we have e to the negative fly is X squared over two plus c. Don't forget the constant integration. Now take the natural walk of both sides. We know that Ln times e is just one. We have negative. Why is natural log of X squared over two plus c last step. We want this in terms of positive. Why not negative? Why

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