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For questions 13-15: Find the complete or particular solutions of the following differ ential equations using methods of first ordered linear equation. 13. xy' + y = x* – 3x 3x Answer: y = + Cx-1 2 14. x²y' – 2xy = x* + 3; y = 2 when x = 1 Answer: y = x3 + 2x² – x-1 dy 15. nx2+ 2y = xy"+1 (n is a constant) Answer: Cxy" + xy – 1= 0

For questions 13-15: Find the complete or particular solutions of the following differ ential equations using methods of first ordered linear equation. 13. xy' + y = x* – 3x 3x Answer: y = + Cx-1 2 14. x²y' – 2xy = x* + 3; y = 2 when x = 1 Answer: y = x3 + 2x² – x-1 dy 15. nx2+ 2y = xy"+1 (n is a constant) Answer: Cxy" + xy – 1= 0

Advanced Engineering Mathematics
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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For questions 13-15: Find the complete or particular solutions of the following differ ential equations using methods of first ordered linear equation. 13. xy' + y = x* – 3x 3x Answer: y = + Cx-1 2 14. x²y' – 2xy = x* + 3; y = 2 when x = 1 Answer: y = x3 + 2x² – x-1 dy 15. nx2+ 2y = xy"+1 (n is a constant) Answer: Cxy" + xy – 1= 0
Transcribed Image Text:For questions 13-15: Find the complete or particular solutions of the following differ ential equations using methods of first ordered linear equation. 13. xy' + y = x* – 3x 3x Answer: y = + Cx-1 2 14. x²y' – 2xy = x* + 3; y = 2 when x = 1 Answer: y = x3 + 2x² – x-1 dy 15. nx2+ 2y = xy"+1 (n is a constant) Answer: Cxy" + xy – 1= 0
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