cosydx+(2y-xsiny)dy=0

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Solution for cosydx+(2y-xsiny)dy=0 equation:


Simplifying
cosydx + (2y + -1xsiny) * dy = 0

Reorder the terms:
cdosxy + (-1insxy + 2y) * dy = 0

Reorder the terms for easier multiplication:
cdosxy + dy(-1insxy + 2y) = 0
cdosxy + (-1insxy * dy + 2y * dy) = 0
cdosxy + (-1dinsxy2 + 2dy2) = 0

Solving
cdosxy + -1dinsxy2 + 2dy2 = 0

Solving for variable 'c'.

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

Add 'dinsxy2' to each side of the equation.
cdosxy + -1dinsxy2 + dinsxy2 + 2dy2 = 0 + dinsxy2

Combine like terms: -1dinsxy2 + dinsxy2 = 0
cdosxy + 0 + 2dy2 = 0 + dinsxy2
cdosxy + 2dy2 = 0 + dinsxy2
Remove the zero:
cdosxy + 2dy2 = dinsxy2

Add '-2dy2' to each side of the equation.
cdosxy + 2dy2 + -2dy2 = dinsxy2 + -2dy2

Combine like terms: 2dy2 + -2dy2 = 0
cdosxy + 0 = dinsxy2 + -2dy2
cdosxy = dinsxy2 + -2dy2

Divide each side by 'dosxy'.
c = ino-1y + -2o-1s-1x-1y

Simplifying
c = ino-1y + -2o-1s-1x-1y

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