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Simplifying (a + -1x + -1yx) * dy = ydx Reorder the terms for easier multiplication: dy(a + -1x + -1xy) = ydx (a * dy + -1x * dy + -1xy * dy) = ydx (ady + -1dxy + -1dxy2) = ydx Solving ady + -1dxy + -1dxy2 = dxy Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'dxy' to each side of the equation. ady + -1dxy + dxy + -1dxy2 = dxy + dxy Combine like terms: -1dxy + dxy = 0 ady + 0 + -1dxy2 = dxy + dxy ady + -1dxy2 = dxy + dxy Combine like terms: dxy + dxy = 2dxy ady + -1dxy2 = 2dxy Add 'dxy2' to each side of the equation. ady + -1dxy2 + dxy2 = 2dxy + dxy2 Combine like terms: -1dxy2 + dxy2 = 0 ady + 0 = 2dxy + dxy2 ady = 2dxy + dxy2 Divide each side by 'dy'. a = 2x + xy Simplifying a = 2x + xy
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