Answered: y²(xdx + ydy) + (x² + y²)(ydx – xdy) =…

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y²(xdx + ydy) + (x² + y²)(ydx – xdy) = 0

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.4: Factoring Polynomials

Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Try and Evaluate the differential equations:

Integrating Factor by Inspection

y?(xdx + ydy) + (x² + y²)(ydx –- xdy) = 0
%3D

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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