I need complete soloution of this question plz don't solve half have a look again and give me answer of complete question take your time as u want i don't need to half answer like that previously you give me in also attached the previous answer that you gave me plz solve complete question plz 3. Find general solutions of the following differential equations.Jdydx(y² + 1) cos xdy=x² - y²; y(0) = 1y + 3y = 2xe-3xy - 2xy = et² millGiven DE: y³ dy = (y² +1) cosxузy4+1Integrating, we getdy =3→ √ 4 y ³учн= cosx dx# 1 44³ dy = f cosx dxy4 +1dy = 4 fcosx dx→ In (y¹+1) = 4 Sinx + c; cis arbitraryconstant•: which is the general solution of DE.

Given Equations: ; To find:The general solution to the given differential equationsFormula…

Answered: Find general solutions of the following…

Math

Calculus

Find general solutions of the following differential equations. dy اليل dx = (y² + 1) cos x

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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Question

I need complete soloution of this question plz don't solve half have a look again and give me answer of complete question take your time as u want i don't need to half answer like that previously you give me in also attached the previous answer that you gave me plz solve complete question plz

3. Find general solutions of the following differential equations.
Jdy
dx
(y² + 1) cos x
dy=x² - y²; y(0) = 1
y + 3y = 2xe-3x
y - 2xy = et²

mill
Given DE: y³ dy = (y² +1) cosx
уз
y4+1
Integrating, we get
dy =
3
→ √ 4 y ³
учн
= cosx dx
# 1 44³ dy = f cosx dx
y4 +1
dy = 4 fcosx dx
→ In (y¹+1) = 4 Sinx + c; cis arbitrary
constant
•: which is the general solution of DE.

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Step 1: Analysis and Introduction

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Step 2: Solve the differential equation on part a)

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Step 3: Solve the differential equation on part c)

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Step 4: Solve the differential equation on part d)

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Step 5: Solve the differential equation on part b)

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