The general solution of the differential equation x²y' – 2y = Inxr? is O cx-2 + c2x – In x – 1 2 Cx² + c2x=1 + ln x – 1 Ciekr + c2e¯v2r + ax + b cje2x + c2e¬* – x + c1x² + c2x=1 – In x + } cje-2* + c2e* – x + cjev2r + cze¯v2r + - 2 1 + C2e¯
The general solution of the differential equation x²y' – 2y = Inxr? is O cx-2 + c2x – In x – 1 2 Cx² + c2x=1 + ln x – 1 Ciekr + c2e¯v2r + ax + b cje2x + c2e¬* – x + c1x² + c2x=1 – In x + } cje-2* + c2e* – x + cjev2r + cze¯v2r + - 2 1 + C2e¯
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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![The general solution of
the differential equation
x²y" – 2y = Inx²
is
C]X¬² + c2x – In x -
2
1
cjx² + c2x¬1 + In x - }
Cier
+ C2e¯V2r
+ ax + b
cje2x + c2e¯* – x +
c1x² + c2x=1 – Inx +
-
cje-2x + c2e* – x +
+ - 2
1
* Cze¯V2r
+ c2e¯
-V2r](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F102e034b-d42e-4d6f-a7b2-1cacbf57918d%2Fc37c45c2-3376-4b3e-888a-1d8c49ef7966%2Fzhsxf9m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The general solution of
the differential equation
x²y" – 2y = Inx²
is
C]X¬² + c2x – In x -
2
1
cjx² + c2x¬1 + In x - }
Cier
+ C2e¯V2r
+ ax + b
cje2x + c2e¯* – x +
c1x² + c2x=1 – Inx +
-
cje-2x + c2e* – x +
+ - 2
1
* Cze¯V2r
+ c2e¯
-V2r
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