. (бх + у?)dx + у(2х — Зу)dy %3D 0 . (2ху — tan y) dx + (x? — xsec'y)dy -о

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 8-12: Test for exactness and determine the solution of each DE.
8. (6x + y?)dx +y(2x – 3y)dy = 0
Answer: 3x2 + xy² – y³ = C
9. (2xy – tan y)dx + (x² – xsec?y)dy = 0
Answer: x²y – x tan y = C
10. (e* + In y +2) dx + (÷ + In x + sin y) dy
0
Transcribed Image Text:For questions 8-12: Test for exactness and determine the solution of each DE. 8. (6x + y?)dx +y(2x – 3y)dy = 0 Answer: 3x2 + xy² – y³ = C 9. (2xy – tan y)dx + (x² – xsec?y)dy = 0 Answer: x²y – x tan y = C 10. (e* + In y +2) dx + (÷ + In x + sin y) dy 0
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