(ysenx-seny)dx-(y-cosy)dy=0

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Solution for (ysenx-seny)dx-(y-cosy)dy=0 equation: 


Simplifying
(ysenx + -1seny) * dx + -1(y + -1cosy) * dy = 0

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

Reorder the terms:
(-1densxy + densx2y) + -1(y + -1cosy) * dy = 0
(-1densxy + densx2y) + -1(y + -1cosy) * dy = 0

Reorder the terms:
-1densxy + densx2y + -1(-1cosy + y) * dy = 0

Reorder the terms for easier multiplication:
-1densxy + densx2y + -1dy(-1cosy + y) = 0
-1densxy + densx2y + (-1cosy * -1dy + y * -1dy) = 0
-1densxy + densx2y + (1cdosy2 + -1dy2) = 0

Reorder the terms:
1cdosy2 + -1densxy + densx2y + -1dy2 = 0

Solving
1cdosy2 + -1densxy + densx2y + -1dy2 = 0

Solving for variable 'c'.

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

Add 'densxy' to each side of the equation.
1cdosy2 + -1densxy + densx2y + densxy + -1dy2 = 0 + densxy

Reorder the terms:
1cdosy2 + -1densxy + densxy + densx2y + -1dy2 = 0 + densxy

Combine like terms: -1densxy + densxy = 0
1cdosy2 + 0 + densx2y + -1dy2 = 0 + densxy
1cdosy2 + densx2y + -1dy2 = 0 + densxy
Remove the zero:
1cdosy2 + densx2y + -1dy2 = densxy

Add '-1densx2y' to each side of the equation.
1cdosy2 + densx2y + -1densx2y + -1dy2 = densxy + -1densx2y

Combine like terms: densx2y + -1densx2y = 0
1cdosy2 + 0 + -1dy2 = densxy + -1densx2y
1cdosy2 + -1dy2 = densxy + -1densx2y

Add 'dy2' to each side of the equation.
1cdosy2 + -1dy2 + dy2 = densxy + -1densx2y + dy2

Combine like terms: -1dy2 + dy2 = 0
1cdosy2 + 0 = densxy + -1densx2y + dy2
1cdosy2 = densxy + -1densx2y + dy2

Divide each side by '1dosy2'.
c = eno-1xy-1 + -1eno-1x2y-1 + o-1s-1

Simplifying
c = eno-1xy-1 + -1eno-1x2y-1 + o-1s-1

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