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Use the "mixed partials" check to see if the following differential equation is exact. If it is exact find a function F(x, y) whose differential, dF(x, y) is the left hand side of the differential equation. That is, level curves F(x, y) = C are solutions to the differential equation (-2e* sin(y) − 3y)dx + (−3x + 2e* cos(y))dy = 0 First, if this equation has the form M (x, y)dx + N(x, y) dy = 0: M₁ (x, y) = , and N₂ (x, y) =O If the equation is not exact, enter not exact, otherwise enter in F(x, y) here

Use the "mixed partials" check to see if the following differential equation is exact. If it is exact find a function F(x, y) whose differential, dF(x, y) is the left hand side of the differential equation. That is, level curves F(x, y) = C are solutions to the differential equation (-2e* sin(y) − 3y)dx + (−3x + 2e* cos(y))dy = 0 First, if this equation has the form M (x, y)dx + N(x, y) dy = 0: M₁ (x, y) = , and N₂ (x, y) =O If the equation is not exact, enter not exact, otherwise enter in F(x, y) here

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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Use the "mixed partials" check to see if the following differential equation is exact. If it is exact find a function F(x, y) whose differential, dF(x, y) is the left hand side of the differential equation. That is, level curves F(x, y) = C are solutions to the differential equation (-2e* sin(y) - 3y)dx + (−3x +2e* cos(y))dy = 0 First, if this equation has the form M(x, y)dx + N(x, y)dy = 0: M₁₂(x, y) = , and Nº(x, y) = □. If the equation is not exact, enter not exact, otherwise enter in F(x, y) here
Transcribed Image Text:Use the "mixed partials" check to see if the following differential equation is exact. If it is exact find a function F(x, y) whose differential, dF(x, y) is the left hand side of the differential equation. That is, level curves F(x, y) = C are solutions to the differential equation (-2e* sin(y) - 3y)dx + (−3x +2e* cos(y))dy = 0 First, if this equation has the form M(x, y)dx + N(x, y)dy = 0: M₁₂(x, y) = , and Nº(x, y) = □. If the equation is not exact, enter not exact, otherwise enter in F(x, y) here
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