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Simplifying 2xsin(y) * dx + (x2cos(y) + -1) * dy = 0 Multiply insx * y 2insxy * dx + (x2cos(y) + -1) * dy = 0 Multiply insxy * dx 2dinsx2y + (x2cos(y) + -1) * dy = 0 Multiply cosx2 * y 2dinsx2y + (cosx2y + -1) * dy = 0 Reorder the terms: 2dinsx2y + (-1 + cosx2y) * dy = 0 Reorder the terms for easier multiplication: 2dinsx2y + dy(-1 + cosx2y) = 0 2dinsx2y + (-1 * dy + cosx2y * dy) = 0 Reorder the terms: 2dinsx2y + (cdosx2y2 + -1dy) = 0 2dinsx2y + (cdosx2y2 + -1dy) = 0 Reorder the terms: cdosx2y2 + 2dinsx2y + -1dy = 0 Solving cdosx2y2 + 2dinsx2y + -1dy = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2dinsx2y' to each side of the equation. cdosx2y2 + 2dinsx2y + -2dinsx2y + -1dy = 0 + -2dinsx2y Combine like terms: 2dinsx2y + -2dinsx2y = 0 cdosx2y2 + 0 + -1dy = 0 + -2dinsx2y cdosx2y2 + -1dy = 0 + -2dinsx2y Remove the zero: cdosx2y2 + -1dy = -2dinsx2y Add 'dy' to each side of the equation. cdosx2y2 + -1dy + dy = -2dinsx2y + dy Combine like terms: -1dy + dy = 0 cdosx2y2 + 0 = -2dinsx2y + dy cdosx2y2 = -2dinsx2y + dy Divide each side by 'dosx2y2'. c = -2ino-1y-1 + o-1s-1x-2y-1 Simplifying c = -2ino-1y-1 + o-1s-1x-2y-1
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