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Simplifying 2x * y3(dx) + y * cos(x)(dx) + 3x2 * y2(dy) + (sin(x))(dy) = 0 Multiply x * y3 2xy3 * dx + y * cos(x)(dx) + 3x2 * y2(dy) + (sin(x))(dy) = 0 Multiply xy3 * dx 2dx2y3 + y * cos(x)(dx) + 3x2 * y2(dy) + (sin(x))(dy) = 0 Multiply y * cos 2dx2y3 + cosy * x * dx + 3x2 * y2(dy) + (sin(x))(dy) = 0 Multiply cosy * x 2dx2y3 + cosxy * dx + 3x2 * y2(dy) + (sin(x))(dy) = 0 Multiply cosxy * dx 2dx2y3 + cdosx2y + 3x2 * y2(dy) + (sin(x))(dy) = 0 Multiply x2 * y2 2dx2y3 + cdosx2y + 3x2y2 * dy + (sin(x))(dy) = 0 Multiply x2y2 * dy 2dx2y3 + cdosx2y + 3dx2y3 + (sin(x))(dy) = 0 Multiply ins * x 2dx2y3 + cdosx2y + 3dx2y3 + (insx)(dy) = 0 Multiply insx * dy 2dx2y3 + cdosx2y + 3dx2y3 + dinsxy = 0 Reorder the terms: cdosx2y + dinsxy + 2dx2y3 + 3dx2y3 = 0 Combine like terms: 2dx2y3 + 3dx2y3 = 5dx2y3 cdosx2y + dinsxy + 5dx2y3 = 0 Solving cdosx2y + dinsxy + 5dx2y3 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1dinsxy' to each side of the equation. cdosx2y + dinsxy + -1dinsxy + 5dx2y3 = 0 + -1dinsxy Combine like terms: dinsxy + -1dinsxy = 0 cdosx2y + 0 + 5dx2y3 = 0 + -1dinsxy cdosx2y + 5dx2y3 = 0 + -1dinsxy Remove the zero: cdosx2y + 5dx2y3 = -1dinsxy Add '-5dx2y3' to each side of the equation. cdosx2y + 5dx2y3 + -5dx2y3 = -1dinsxy + -5dx2y3 Combine like terms: 5dx2y3 + -5dx2y3 = 0 cdosx2y + 0 = -1dinsxy + -5dx2y3 cdosx2y = -1dinsxy + -5dx2y3 Divide each side by 'dosx2y'. c = -1ino-1x-1 + -5o-1s-1y2 Simplifying c = -1ino-1x-1 + -5o-1s-1y2
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