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1. Resuelva la siguiente ecuación exacta y despejar “y": (cos: xsenx – xy )ex + y(1– x² )ety = 0 , y(0)=2

1. Resuelva la siguiente ecuación exacta y despejar “y": (cos: xsenx – xy )ex + y(1– x² )ety = 0 , y(0)=2

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Solve the following exact equation and clear "y":

Instructions:
Explain in words, each step of the process until you reach the result. (The exercise is already solved)

Note:
The original exercise is in the image, for a better understanding, it is in Spanish but it is easy to understand.

-In the other image is the correct procedure of the exercise, what I want is that you explain me in detail all the steps that were followed. (What was done in each step, in a detailed way please).

O (rosx senx - xy? ) dx t Y (-X*) dj =o am - -axy dN Fa y) = (rx?) thex) - xy² t n'P)= cOsxfenx -xy² hcx) = - [Ccarx) (-Senxdy)- - cos?x h&) =y² (-x?)- Cojox = c C=y°r-x*) - cosx Condicion micial y=a cuando X=0 4) - o? (o) =c C= 3 Ly² (Fx²) - cos² x = 2(1- x²) - 1ーズ 34 cos?X y=V 3+coj²* ーx2 T-x²
Transcribed Image Text:O (rosx senx - xy? ) dx t Y (-X*) dj =o am - -axy dN Fa y) = (rx?) thex) - xy² t n'P)= cOsxfenx -xy² hcx) = - [Ccarx) (-Senxdy)- - cos?x h&) =y² (-x?)- Cojox = c C=y°r-x*) - cosx Condicion micial y=a cuando X=0 4) - o? (o) =c C= 3 Ly² (Fx²) - cos² x = 2(1- x²) - 1ーズ 34 cos?X y=V 3+coj²* ーx2 T-x²
1. Resuelva la siguiente ecuación exacta y despejar "y": (cos xsenx – xy )ex + y(1–x² ]ciy = 0 , y(0)=2
Transcribed Image Text:1. Resuelva la siguiente ecuación exacta y despejar "y": (cos xsenx – xy )ex + y(1–x² ]ciy = 0 , y(0)=2
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