y + Y 1+x || -(1 + x)²y5) 2 with y(1) = 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
(5) y +
Y
1+x
DE
-(1+x)²y5)
2
with y(1) = 1
Transcribed Image Text:(5) y + Y 1+x DE -(1+x)²y5) 2 with y(1) = 1
Expert Solution
Step 1: Given Information:

5. Given that the differential equation is:

                              y apostrophe plus fraction numerator y over denominator 1 plus x end fraction equals fraction numerator negative left parenthesis 1 plus x right parenthesis squared y to the power of 5 over denominator 2 end fraction semicolon space space space space space space space space space space y left parenthesis 1 right parenthesis equals 1.

    To find the solution of the given differential equation.

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