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5. Test the exactness and evaluate the DE. (ху? + у — х)dx — x(-ху— 1)dy x²y² + 2xy – x² = C 2x²y? + 2xy – x² = C %3D | - Ob. а. 2x?y? + xy – 2x? = C x²y + 2x?y – x² = C %3D С.

5. Test the exactness and evaluate the DE. (ху? + у — х)dx — x(-ху— 1)dy x²y² + 2xy – x² = C 2x²y? + 2xy – x² = C %3D | - Ob. а. 2x?y? + xy – 2x? = C x²y + 2x?y – x² = C %3D С.

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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5. Test the exactness and evaluate the DE. (ху? + у — х)dх — x(-ху— 1)dy x²y² + 2xy – x² = C 2x?y? + 2xy – x² = C %3D O b. а. 2x?y? + xy – 2x? = C x²y + 2x²y – x² = C | O d. С.
Transcribed Image Text:5. Test the exactness and evaluate the DE. (ху? + у — х)dх — x(-ху— 1)dy x²y² + 2xy – x² = C 2x?y? + 2xy – x² = C %3D O b. а. 2x?y? + xy – 2x? = C x²y + 2x²y – x² = C | O d. С.
6. Test the exactness and evaluate the DE. (2xy – tany)dx + (x² – xsec²y)dy х*у — 2xtany С x²y – xsec² y = C | O a. b. x²y – xtany = C x²y – xsecy = C O d. С.
Transcribed Image Text:6. Test the exactness and evaluate the DE. (2xy – tany)dx + (x² – xsec²y)dy х*у — 2xtany С x²y – xsec² y = C | O a. b. x²y – xtany = C x²y – xsecy = C O d. С.
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