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Simplifying (2xy + -1sec2(2x)) * dx + (x2 + 3y2) * dy = 0 Remove parenthesis around (2x) (2xy + -1c2es * 2x) * dx + (x2 + 3y2) * dy = 0 Reorder the terms for easier multiplication: (2xy + -1 * 2c2es * x) * dx + (x2 + 3y2) * dy = 0 Multiply -1 * 2 (2xy + -2c2es * x) * dx + (x2 + 3y2) * dy = 0 Multiply c2es * x (2xy + -2c2esx) * dx + (x2 + 3y2) * dy = 0 Reorder the terms: (-2c2esx + 2xy) * dx + (x2 + 3y2) * dy = 0 Reorder the terms for easier multiplication: dx(-2c2esx + 2xy) + (x2 + 3y2) * dy = 0 (-2c2esx * dx + 2xy * dx) + (x2 + 3y2) * dy = 0 (-2c2desx2 + 2dx2y) + (x2 + 3y2) * dy = 0 Reorder the terms for easier multiplication: -2c2desx2 + 2dx2y + dy(x2 + 3y2) = 0 -2c2desx2 + 2dx2y + (x2 * dy + 3y2 * dy) = 0 -2c2desx2 + 2dx2y + (dx2y + 3dy3) = 0 Combine like terms: 2dx2y + dx2y = 3dx2y -2c2desx2 + 3dx2y + 3dy3 = 0 Solving -2c2desx2 + 3dx2y + 3dy3 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3dx2y' to each side of the equation. -2c2desx2 + 3dx2y + -3dx2y + 3dy3 = 0 + -3dx2y Combine like terms: 3dx2y + -3dx2y = 0 -2c2desx2 + 0 + 3dy3 = 0 + -3dx2y -2c2desx2 + 3dy3 = 0 + -3dx2y Remove the zero: -2c2desx2 + 3dy3 = -3dx2y Add '-3dy3' to each side of the equation. -2c2desx2 + 3dy3 + -3dy3 = -3dx2y + -3dy3 Combine like terms: 3dy3 + -3dy3 = 0 -2c2desx2 + 0 = -3dx2y + -3dy3 -2c2desx2 = -3dx2y + -3dy3 Divide each side by '-2desx2'. c2 = 1.5e-1s-1y + 1.5e-1s-1x-2y3 Simplifying c2 = 1.5e-1s-1y + 1.5e-1s-1x-2y3 Reorder the terms: c2 = 1.5e-1s-1x-2y3 + 1.5e-1s-1y Reorder the terms: c2 + -1.5e-1s-1x-2y3 + -1.5e-1s-1y = 1.5e-1s-1x-2y3 + -1.5e-1s-1x-2y3 + 1.5e-1s-1y + -1.5e-1s-1y Combine like terms: 1.5e-1s-1x-2y3 + -1.5e-1s-1x-2y3 = 0.0 c2 + -1.5e-1s-1x-2y3 + -1.5e-1s-1y = 0.0 + 1.5e-1s-1y + -1.5e-1s-1y c2 + -1.5e-1s-1x-2y3 + -1.5e-1s-1y = 1.5e-1s-1y + -1.5e-1s-1y Combine like terms: 1.5e-1s-1y + -1.5e-1s-1y = 0.0 c2 + -1.5e-1s-1x-2y3 + -1.5e-1s-1y = 0.0 The solution to this equation could not be determined.
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