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Verify that the given differential equation is not exact. (-xy sin(x) + 2y cos(x)) dx + 2x cos(x) dy = 0 If the given DE is written in the form M(x, y) dx + N(x, y) dy = 0, one has My = Nx = Since My and Nx ---Select--- equal, the equation is not exact. Multiply the given differential equation by the integrating factor u(x, y) = xy and verify that the new equation is exact. If the new DE is written in the form M(x, y) dx + N(x, y) dy = 0, one has My Solve. Nx = Since My and Nx ---Select--- equal, the equation is exact.

Verify that the given differential equation is not exact. (-xy sin(x) + 2y cos(x)) dx + 2x cos(x) dy = 0 If the given DE is written in the form M(x, y) dx + N(x, y) dy = 0, one has My = Nx = Since My and Nx ---Select--- equal, the equation is not exact. Multiply the given differential equation by the integrating factor u(x, y) = xy and verify that the new equation is exact. If the new DE is written in the form M(x, y) dx + N(x, y) dy = 0, one has My Solve. Nx = Since My and Nx ---Select--- equal, the equation is exact.

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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Verify that the given differential equation is not exact. (-xy sin(x) + 2y cos(x)) dx + 2x cos(x) dy = 0 If the given DE is written in the form M(x, y) dx + N(x, y) dy = 0, one has My = Nx Solve. = Since My and Nx |---Select--- equal, the equation is not exact. Multiply the given differential equation by the integrating factor u(x, y) = xy and verify that the new equation is exact. If the new DE is written in the form M(x, y) dx + N(x, y) dy = 0, one has My Nx = Since My and Nx ---Select--- equal, the equation is exact.
Transcribed Image Text:Verify that the given differential equation is not exact. (-xy sin(x) + 2y cos(x)) dx + 2x cos(x) dy = 0 If the given DE is written in the form M(x, y) dx + N(x, y) dy = 0, one has My = Nx Solve. = Since My and Nx |---Select--- equal, the equation is not exact. Multiply the given differential equation by the integrating factor u(x, y) = xy and verify that the new equation is exact. If the new DE is written in the form M(x, y) dx + N(x, y) dy = 0, one has My Nx = Since My and Nx ---Select--- equal, the equation is exact.
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