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Test the equation for exactness and obtain the solution: [2x + y cos(xy)] dx + x cos(xy)dy 0 a.c = x? - sin xy b. x = x2 + sin cy c.x = x? - sin cy d.c = x + sin xy e. none of these

Test the equation for exactness and obtain the solution: [2x + y cos(xy)] dx + x cos(xy)dy 0 a.c = x? - sin xy b. x = x2 + sin cy c.x = x? - sin cy d.c = x + sin xy e. none of these

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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Test the equation for exactness and obtain the solution: [2x + y cos(xy)] dx +x cos(xy)dy = 0 a.c = x? - sin xy b. x = x? + sin cy %3D c. x = x? - sin cy d.c = x + sin xy e. none of these
Transcribed Image Text:Test the equation for exactness and obtain the solution: [2x + y cos(xy)] dx +x cos(xy)dy = 0 a.c = x? - sin xy b. x = x? + sin cy %3D c. x = x? - sin cy d.c = x + sin xy e. none of these
Solve for the solution of the Homogeneous DE: [x y tan-ldx + x tan-dy = 0 a. 2y tan() = xln b. 2y tan-1 () c" (x² +y²) xln c. 2y tan-1 (2) = xln c²(x²+y²) d. 2y tan () = xln c²(x²+y²) x2 e. none of these
Transcribed Image Text:Solve for the solution of the Homogeneous DE: [x y tan-ldx + x tan-dy = 0 a. 2y tan() = xln b. 2y tan-1 () c" (x² +y²) xln c. 2y tan-1 (2) = xln c²(x²+y²) d. 2y tan () = xln c²(x²+y²) x2 e. none of these
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