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Simplifying (x * sin(y)) * dx + [(x2 + 1) * cos(y)] * dy = 0 Multiply x * ins (insx * y) * dx + [(x2 + 1) * cos(y)] * dy = 0 Multiply insx * y (insxy) * dx + [(x2 + 1) * cos(y)] * dy = 0 Multiply insxy * dx dinsx2y + [(x2 + 1) * cos(y)] * dy = 0 Reorder the terms: dinsx2y + [(1 + x2) * cos(y)] * dy = 0 Reorder the terms for easier multiplication: dinsx2y + [cos * y(1 + x2)] * dy = 0 Multiply cos * y dinsx2y + [cosy(1 + x2)] * dy = 0 dinsx2y + [(1 * cosy + x2 * cosy)] * dy = 0 Reorder the terms: dinsx2y + [(cosx2y + 1cosy)] * dy = 0 dinsx2y + [(cosx2y + 1cosy)] * dy = 0 Reorder the terms for easier multiplication: dinsx2y + dy[cosx2y + 1cosy] = 0 dinsx2y + [cosx2y * dy + 1cosy * dy] = 0 dinsx2y + [cdosx2y2 + 1cdosy2] = 0 Reorder the terms: cdosx2y2 + 1cdosy2 + dinsx2y = 0 Solving cdosx2y2 + 1cdosy2 + dinsx2y = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1dinsx2y' to each side of the equation. cdosx2y2 + 1cdosy2 + dinsx2y + -1dinsx2y = 0 + -1dinsx2y Combine like terms: dinsx2y + -1dinsx2y = 0 cdosx2y2 + 1cdosy2 + 0 = 0 + -1dinsx2y cdosx2y2 + 1cdosy2 = 0 + -1dinsx2y Remove the zero: cdosx2y2 + 1cdosy2 = -1dinsx2y Combine like terms: -1dinsx2y + dinsx2y = 0 cdosx2y2 + 1cdosy2 + dinsx2y = 0 Factor out the Greatest Common Factor (GCF), 'dsy'. dsy(cox2y + coy + inx2) = 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 '(cox2y + coy + inx2)' equal to zero and attempt to solve: Simplifying cox2y + coy + inx2 = 0 Solving cox2y + coy + inx2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1inx2' to each side of the equation. cox2y + coy + inx2 + -1inx2 = 0 + -1inx2 Combine like terms: inx2 + -1inx2 = 0 cox2y + coy + 0 = 0 + -1inx2 cox2y + coy = 0 + -1inx2 Remove the zero: cox2y + coy = -1inx2 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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