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Simplifying senydx + cosy(x + 2seny) * dy = 0 Reorder the terms: densxy + cosy(2ensy + x) * dy = 0 Reorder the terms for easier multiplication: densxy + cosy * dy(2ensy + x) = 0 Multiply cosy * dy densxy + cdosy2(2ensy + x) = 0 densxy + (2ensy * cdosy2 + x * cdosy2) = 0 densxy + (2cdenos2y3 + cdosxy2) = 0 Reorder the terms: 2cdenos2y3 + cdosxy2 + densxy = 0 Solving 2cdenos2y3 + cdosxy2 + densxy = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1densxy' to each side of the equation. 2cdenos2y3 + cdosxy2 + densxy + -1densxy = 0 + -1densxy Combine like terms: densxy + -1densxy = 0 2cdenos2y3 + cdosxy2 + 0 = 0 + -1densxy 2cdenos2y3 + cdosxy2 = 0 + -1densxy Remove the zero: 2cdenos2y3 + cdosxy2 = -1densxy Combine like terms: -1densxy + densxy = 0 2cdenos2y3 + cdosxy2 + densxy = 0 Factor out the Greatest Common Factor (GCF), 'dsy'. dsy(2cenosy2 + coxy + enx) = 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 '(2cenosy2 + coxy + enx)' equal to zero and attempt to solve: Simplifying 2cenosy2 + coxy + enx = 0 Solving 2cenosy2 + coxy + enx = 0 Move all terms containing c to the left, all other terms to the right. Add '-1enx' to each side of the equation. 2cenosy2 + coxy + enx + -1enx = 0 + -1enx Combine like terms: enx + -1enx = 0 2cenosy2 + coxy + 0 = 0 + -1enx 2cenosy2 + coxy = 0 + -1enx Remove the zero: 2cenosy2 + coxy = -1enx 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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