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Simplifying siny(x + siny) * dx + (2x2cosy) * dy = 0 Reorder the terms: insy(insy + x) * dx + (2x2cosy) * dy = 0 Reorder the terms for easier multiplication: insy * dx(insy + x) + (2x2cosy) * dy = 0 Multiply insy * dx dinsxy(insy + x) + (2x2cosy) * dy = 0 (insy * dinsxy + x * dinsxy) + (2x2cosy) * dy = 0 Reorder the terms: (dinsx2y + di2n2s2xy2) + (2x2cosy) * dy = 0 (dinsx2y + di2n2s2xy2) + (2x2cosy) * dy = 0 Remove parenthesis around (2cosx2y) dinsx2y + di2n2s2xy2 + 2cosx2y * dy = 0 Multiply cosx2y * dy dinsx2y + di2n2s2xy2 + 2cdosx2y2 = 0 Reorder the terms: 2cdosx2y2 + dinsx2y + di2n2s2xy2 = 0 Solving 2cdosx2y2 + dinsx2y + di2n2s2xy2 = 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. 2cdosx2y2 + dinsx2y + -1dinsx2y + di2n2s2xy2 = 0 + -1dinsx2y Combine like terms: dinsx2y + -1dinsx2y = 0 2cdosx2y2 + 0 + di2n2s2xy2 = 0 + -1dinsx2y 2cdosx2y2 + di2n2s2xy2 = 0 + -1dinsx2y Remove the zero: 2cdosx2y2 + di2n2s2xy2 = -1dinsx2y Add '-1di2n2s2xy2' to each side of the equation. 2cdosx2y2 + di2n2s2xy2 + -1di2n2s2xy2 = -1dinsx2y + -1di2n2s2xy2 Combine like terms: di2n2s2xy2 + -1di2n2s2xy2 = 0 2cdosx2y2 + 0 = -1dinsx2y + -1di2n2s2xy2 2cdosx2y2 = -1dinsx2y + -1di2n2s2xy2 Divide each side by '2dosx2y2'. c = -0.5ino-1y-1 + -0.5i2n2o-1sx-1 Simplifying c = -0.5ino-1y-1 + -0.5i2n2o-1sx-1
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