(sen(xy)+xycos(xy))dx+(1+x^2cos(xy))dy=0

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Solution for (sen(xy)+xycos(xy))dx+(1+x^2cos(xy))dy=0 equation: 


Simplifying
(sen(xy) + xycos(xy)) * dx + (1 + x2cos(xy)) * dy = 0

Multiply ens * xy
(ensxy + xycos(xy)) * dx + (1 + x2cos(xy)) * dy = 0

Multiply cosxy * xy
(ensxy + cosx2y2) * dx + (1 + x2cos(xy)) * dy = 0

Reorder the terms:
(cosx2y2 + ensxy) * dx + (1 + x2cos(xy)) * dy = 0

Reorder the terms for easier multiplication:
dx(cosx2y2 + ensxy) + (1 + x2cos(xy)) * dy = 0
(cosx2y2 * dx + ensxy * dx) + (1 + x2cos(xy)) * dy = 0
(cdosx3y2 + densx2y) + (1 + x2cos(xy)) * dy = 0

Multiply cosx2 * xy
cdosx3y2 + densx2y + (1 + cosx3y) * dy = 0

Reorder the terms for easier multiplication:
cdosx3y2 + densx2y + dy(1 + cosx3y) = 0
cdosx3y2 + densx2y + (1 * dy + cosx3y * dy) = 0

Reorder the terms:
cdosx3y2 + densx2y + (cdosx3y2 + 1dy) = 0
cdosx3y2 + densx2y + (cdosx3y2 + 1dy) = 0

Reorder the terms:
cdosx3y2 + cdosx3y2 + densx2y + 1dy = 0

Combine like terms: cdosx3y2 + cdosx3y2 = 2cdosx3y2
2cdosx3y2 + densx2y + 1dy = 0

Solving
2cdosx3y2 + densx2y + 1dy = 0

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-1densx2y' to each side of the equation.
2cdosx3y2 + densx2y + -1densx2y + 1dy = 0 + -1densx2y

Combine like terms: densx2y + -1densx2y = 0
2cdosx3y2 + 0 + 1dy = 0 + -1densx2y
2cdosx3y2 + 1dy = 0 + -1densx2y
Remove the zero:
2cdosx3y2 + 1dy = -1densx2y

Add '-1dy' to each side of the equation.
2cdosx3y2 + 1dy + -1dy = -1densx2y + -1dy

Combine like terms: 1dy + -1dy = 0
2cdosx3y2 + 0 = -1densx2y + -1dy
2cdosx3y2 = -1densx2y + -1dy

Divide each side by '2dosx3y2'.
c = -0.5eno-1x-1y-1 + -0.5o-1s-1x-3y-1

Simplifying
c = -0.5eno-1x-1y-1 + -0.5o-1s-1x-3y-1

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