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Simplifying (y + -1x + x * ycotx) * dx + x * dy = 0 Multiply x * cotxy (y + -1x + cotx2y) * dx + x * dy = 0 Reorder the terms: (cotx2y + -1x + y) * dx + x * dy = 0 Reorder the terms for easier multiplication: dx(cotx2y + -1x + y) + x * dy = 0 (cotx2y * dx + -1x * dx + y * dx) + x * dy = 0 Reorder the terms: (cdotx3y + dxy + -1dx2) + x * dy = 0 (cdotx3y + dxy + -1dx2) + x * dy = 0 Multiply x * dy cdotx3y + dxy + -1dx2 + dxy = 0 Reorder the terms: cdotx3y + dxy + dxy + -1dx2 = 0 Combine like terms: dxy + dxy = 2dxy cdotx3y + 2dxy + -1dx2 = 0 Solving cdotx3y + 2dxy + -1dx2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2dxy' to each side of the equation. cdotx3y + 2dxy + -2dxy + -1dx2 = 0 + -2dxy Combine like terms: 2dxy + -2dxy = 0 cdotx3y + 0 + -1dx2 = 0 + -2dxy cdotx3y + -1dx2 = 0 + -2dxy Remove the zero: cdotx3y + -1dx2 = -2dxy Add 'dx2' to each side of the equation. cdotx3y + -1dx2 + dx2 = -2dxy + dx2 Combine like terms: -1dx2 + dx2 = 0 cdotx3y + 0 = -2dxy + dx2 cdotx3y = -2dxy + dx2 Divide each side by 'dotx3y'. c = -2o-1t-1x-2 + o-1t-1x-1y-1 Simplifying c = -2o-1t-1x-2 + o-1t-1x-1y-1
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