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Simplifying (y3 + -1y2senx + -1x) * dx + (3xy2 + 2ycosx) * dy = 0 Reorder the terms: (-1ensxy2 + -1x + y3) * dx + (3xy2 + 2ycosx) * dy = 0 Reorder the terms for easier multiplication: dx(-1ensxy2 + -1x + y3) + (3xy2 + 2ycosx) * dy = 0 (-1ensxy2 * dx + -1x * dx + y3 * dx) + (3xy2 + 2ycosx) * dy = 0 Reorder the terms: (-1densx2y2 + dxy3 + -1dx2) + (3xy2 + 2ycosx) * dy = 0 (-1densx2y2 + dxy3 + -1dx2) + (3xy2 + 2ycosx) * dy = 0 Reorder the terms: -1densx2y2 + dxy3 + -1dx2 + (2cosxy + 3xy2) * dy = 0 Reorder the terms for easier multiplication: -1densx2y2 + dxy3 + -1dx2 + dy(2cosxy + 3xy2) = 0 -1densx2y2 + dxy3 + -1dx2 + (2cosxy * dy + 3xy2 * dy) = 0 -1densx2y2 + dxy3 + -1dx2 + (2cdosxy2 + 3dxy3) = 0 Reorder the terms: 2cdosxy2 + -1densx2y2 + dxy3 + 3dxy3 + -1dx2 = 0 Combine like terms: dxy3 + 3dxy3 = 4dxy3 2cdosxy2 + -1densx2y2 + 4dxy3 + -1dx2 = 0 Solving 2cdosxy2 + -1densx2y2 + 4dxy3 + -1dx2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'densx2y2' to each side of the equation. 2cdosxy2 + -1densx2y2 + 4dxy3 + densx2y2 + -1dx2 = 0 + densx2y2 Reorder the terms: 2cdosxy2 + -1densx2y2 + densx2y2 + 4dxy3 + -1dx2 = 0 + densx2y2 Combine like terms: -1densx2y2 + densx2y2 = 0 2cdosxy2 + 0 + 4dxy3 + -1dx2 = 0 + densx2y2 2cdosxy2 + 4dxy3 + -1dx2 = 0 + densx2y2 Remove the zero: 2cdosxy2 + 4dxy3 + -1dx2 = densx2y2 Add '-4dxy3' to each side of the equation. 2cdosxy2 + 4dxy3 + -4dxy3 + -1dx2 = densx2y2 + -4dxy3 Combine like terms: 4dxy3 + -4dxy3 = 0 2cdosxy2 + 0 + -1dx2 = densx2y2 + -4dxy3 2cdosxy2 + -1dx2 = densx2y2 + -4dxy3 Add 'dx2' to each side of the equation. 2cdosxy2 + -1dx2 + dx2 = densx2y2 + -4dxy3 + dx2 Combine like terms: -1dx2 + dx2 = 0 2cdosxy2 + 0 = densx2y2 + -4dxy3 + dx2 2cdosxy2 = densx2y2 + -4dxy3 + dx2 Divide each side by '2dosxy2'. c = 0.5eno-1x + -2o-1s-1y + 0.5o-1s-1xy-2 Simplifying c = 0.5eno-1x + -2o-1s-1y + 0.5o-1s-1xy-2 Reorder the terms: c = 0.5eno-1x + 0.5o-1s-1xy-2 + -2o-1s-1y
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