Find the integrating factor for the following differential equation dy sinx + (cosx)y = x dx

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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y courses / Electricai Engineering / Engineering Matnematics / Dr Avinasn Gaur(Sections 2,4 ,6, 11) / FINAL_EXAMINATION SECTIONS-
Find the integrating factor for the following differential equation
dy
sinx-
+ (cosx)y =x
dx
O a. x
O b. sinx
O C. secx
O d. cosx
FF
Use Laplace transform technique to solve y+2y + 2y e-,
y(0) = - 3, y'(0) = 2
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Transcribed Image Text:y courses / Electricai Engineering / Engineering Matnematics / Dr Avinasn Gaur(Sections 2,4 ,6, 11) / FINAL_EXAMINATION SECTIONS- Find the integrating factor for the following differential equation dy sinx- + (cosx)y =x dx O a. x O b. sinx O C. secx O d. cosx FF Use Laplace transform technique to solve y+2y + 2y e-, y(0) = - 3, y'(0) = 2 Maximum file size: 100MB, maximum number of files: 1 Accepted file types Document files doc docy enuh gdoc odt othott ndf rtf
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Expert Solution
Step 1

We are solving the first question and for the next question post the question againand also mention the question number to be solved.Question 1,Given,          sinxddx+cosxy=xWe know that,         The differential equation of the form given by              dydx+Py=Q         Here, P=integrating factor         Integrating factor=ePdx

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