(x+ycosx)dx+senxdy=0

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Solution for (x+ycosx)dx+senxdy=0 equation:


Simplifying
(x + ycosx) * dx + senxdy = 0

Reorder the terms:
(cosxy + x) * dx + senxdy = 0

Reorder the terms for easier multiplication:
dx(cosxy + x) + senxdy = 0
(cosxy * dx + x * dx) + senxdy = 0
(cdosx2y + dx2) + senxdy = 0

Reorder the terms:
cdosx2y + densxy + dx2 = 0

Solving
cdosx2y + densxy + dx2 = 0

Solving for variable 'c'.

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

Add '-1densxy' to each side of the equation.
cdosx2y + densxy + -1densxy + dx2 = 0 + -1densxy

Combine like terms: densxy + -1densxy = 0
cdosx2y + 0 + dx2 = 0 + -1densxy
cdosx2y + dx2 = 0 + -1densxy
Remove the zero:
cdosx2y + dx2 = -1densxy

Add '-1dx2' to each side of the equation.
cdosx2y + dx2 + -1dx2 = -1densxy + -1dx2

Combine like terms: dx2 + -1dx2 = 0
cdosx2y + 0 = -1densxy + -1dx2
cdosx2y = -1densxy + -1dx2

Divide each side by 'dosx2y'.
c = -1eno-1x-1 + -1o-1s-1y-1

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

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