(1+ysenx)dx+(1-cosx)dy=0

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Solution for (1+ysenx)dx+(1-cosx)dy=0 equation: 


Simplifying
(1 + ysenx) * dx + (1 + -1cosx) * dy = 0

Reorder the terms for easier multiplication:
dx(1 + ensxy) + (1 + -1cosx) * dy = 0
(1 * dx + ensxy * dx) + (1 + -1cosx) * dy = 0

Reorder the terms:
(densx2y + 1dx) + (1 + -1cosx) * dy = 0
(densx2y + 1dx) + (1 + -1cosx) * dy = 0

Reorder the terms for easier multiplication:
densx2y + 1dx + dy(1 + -1cosx) = 0
densx2y + 1dx + (1 * dy + -1cosx * dy) = 0

Reorder the terms:
densx2y + 1dx + (-1cdosxy + 1dy) = 0
densx2y + 1dx + (-1cdosxy + 1dy) = 0

Reorder the terms:
-1cdosxy + densx2y + 1dx + 1dy = 0

Solving
-1cdosxy + densx2y + 1dx + 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.
-1cdosxy + densx2y + 1dx + -1densx2y + 1dy = 0 + -1densx2y

Reorder the terms:
-1cdosxy + densx2y + -1densx2y + 1dx + 1dy = 0 + -1densx2y

Combine like terms: densx2y + -1densx2y = 0
-1cdosxy + 0 + 1dx + 1dy = 0 + -1densx2y
-1cdosxy + 1dx + 1dy = 0 + -1densx2y
Remove the zero:
-1cdosxy + 1dx + 1dy = -1densx2y

Add '-1dx' to each side of the equation.
-1cdosxy + 1dx + -1dx + 1dy = -1densx2y + -1dx

Combine like terms: 1dx + -1dx = 0
-1cdosxy + 0 + 1dy = -1densx2y + -1dx
-1cdosxy + 1dy = -1densx2y + -1dx

Add '-1dy' to each side of the equation.
-1cdosxy + 1dy + -1dy = -1densx2y + -1dx + -1dy

Combine like terms: 1dy + -1dy = 0
-1cdosxy + 0 = -1densx2y + -1dx + -1dy
-1cdosxy = -1densx2y + -1dx + -1dy

Divide each side by '-1dosxy'.
c = eno-1x + o-1s-1y-1 + o-1s-1x-1

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

Reorder the terms:
c = eno-1x + o-1s-1x-1 + o-1s-1y-1

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