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Simplifying (cos(y)) * dx + (y2 + -1xsin(y)) * dy = 0 Multiply cos * y (cosy) * dx + (y2 + -1xsin(y)) * dy = 0 Multiply cosy * dx cdosxy + (y2 + -1xsin(y)) * dy = 0 Multiply insx * y cdosxy + (y2 + -1insxy) * dy = 0 Reorder the terms: cdosxy + (-1insxy + y2) * dy = 0 Reorder the terms for easier multiplication: cdosxy + dy(-1insxy + y2) = 0 cdosxy + (-1insxy * dy + y2 * dy) = 0 cdosxy + (-1dinsxy2 + dy3) = 0 Solving cdosxy + -1dinsxy2 + dy3 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'dinsxy2' to each side of the equation. cdosxy + -1dinsxy2 + dinsxy2 + dy3 = 0 + dinsxy2 Combine like terms: -1dinsxy2 + dinsxy2 = 0 cdosxy + 0 + dy3 = 0 + dinsxy2 cdosxy + dy3 = 0 + dinsxy2 Remove the zero: cdosxy + dy3 = dinsxy2 Add '-1dy3' to each side of the equation. cdosxy + dy3 + -1dy3 = dinsxy2 + -1dy3 Combine like terms: dy3 + -1dy3 = 0 cdosxy + 0 = dinsxy2 + -1dy3 cdosxy = dinsxy2 + -1dy3 Divide each side by 'dosxy'. c = ino-1y + -1o-1s-1x-1y2 Simplifying c = ino-1y + -1o-1s-1x-1y2
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