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7. Solve the given differential equation. * SHOW YOUR COMPLETE AND CLEAN SOLUTIONS. 2r² (x² – x) (y')² + (x² + x) y' = 1 O y + x² = C_ C and y+In|x – 1| = C O y - x² = C and y – In\x – 1| = C O y - = C and y– Inx – In|x – 1 2x O y + 1 = C and y – In x + In|x – 1 2x

7. Solve the given differential equation. * SHOW YOUR COMPLETE AND CLEAN SOLUTIONS. 2r² (x² – x) (y')² + (x² + x) y' = 1 O y + x² = C_ C and y+In|x – 1| = C O y - x² = C and y – In\x – 1| = C O y - = C and y– Inx – In|x – 1 2x O y + 1 = C and y – In x + In|x – 1 2x

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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Can someone show me the simpliest solution for this differential equation? Thankyou in advance!!
7. Solve the given differential equation. * SHOW YOUR COMPLETE AND CLEAN SOLUTIONS. 2x² (x² – x) (y')ʻ + (x² + x) y' = 1 O y + x² = C C and y+ In|x – 1| = C O y - x² = C and y – In\x – 1| = C O y - = C and y– In x – In\x – 1 2x O y + 1 3 С аnd y — In x + In\x —- 1 2x
Transcribed Image Text:7. Solve the given differential equation. * SHOW YOUR COMPLETE AND CLEAN SOLUTIONS. 2x² (x² – x) (y')ʻ + (x² + x) y' = 1 O y + x² = C C and y+ In|x – 1| = C O y - x² = C and y – In\x – 1| = C O y - = C and y– In x – In\x – 1 2x O y + 1 3 С аnd y — In x + In\x —- 1 2x
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