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Simplifying cosydx + (2xseny + -1cos3y) * dy = 0 Reorder the terms: cdosxy + (-1cos3y + 2ensxy) * dy = 0 Reorder the terms for easier multiplication: cdosxy + dy(-1cos3y + 2ensxy) = 0 cdosxy + (-1cos3y * dy + 2ensxy * dy) = 0 cdosxy + (-1cdos3y2 + 2densxy2) = 0 Solving cdosxy + -1cdos3y2 + 2densxy2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2densxy2' to each side of the equation. cdosxy + -1cdos3y2 + 2densxy2 + -2densxy2 = 0 + -2densxy2 Combine like terms: 2densxy2 + -2densxy2 = 0 cdosxy + -1cdos3y2 + 0 = 0 + -2densxy2 cdosxy + -1cdos3y2 = 0 + -2densxy2 Remove the zero: cdosxy + -1cdos3y2 = -2densxy2 Combine like terms: -2densxy2 + 2densxy2 = 0 cdosxy + -1cdos3y2 + 2densxy2 = 0 Factor out the Greatest Common Factor (GCF), 'dsy'. dsy(cox + -1cos2y + 2enxy) = 0Subproblem 1
Set the factor 'dsy' equal to zero and attempt to solve: Simplifying dsy = 0 Solving dsy = 0 Move all terms containing c to the left, all other terms to the right. Add '-1dsy' to each side of the equation. dsy + -1dsy = 0 + -1dsy Remove the zero: 0 = -1dsy Simplifying 0 = -1dsy The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(cox + -1cos2y + 2enxy)' equal to zero and attempt to solve: Simplifying cox + -1cos2y + 2enxy = 0 Reorder the terms: -1cos2y + cox + 2enxy = 0 Solving -1cos2y + cox + 2enxy = 0 Move all terms containing c to the left, all other terms to the right. Add '-2enxy' to each side of the equation. -1cos2y + cox + 2enxy + -2enxy = 0 + -2enxy Combine like terms: 2enxy + -2enxy = 0 -1cos2y + cox + 0 = 0 + -2enxy -1cos2y + cox = 0 + -2enxy Remove the zero: -1cos2y + cox = -2enxy The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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