(ysenx-2)dx+(cosx)dy=0

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Solution for (ysenx-2)dx+(cosx)dy=0 equation:


Simplifying
(ysenx + -2) * dx + (cosx) * dy = 0

Reorder the terms:
(-2 + ensxy) * dx + (cosx) * dy = 0

Reorder the terms for easier multiplication:
dx(-2 + ensxy) + (cosx) * dy = 0
(-2 * dx + ensxy * dx) + (cosx) * dy = 0

Reorder the terms:
(densx2y + -2dx) + (cosx) * dy = 0
(densx2y + -2dx) + (cosx) * dy = 0

Multiply cosx * dy
densx2y + -2dx + cdosxy = 0

Reorder the terms:
cdosxy + densx2y + -2dx = 0

Solving
cdosxy + densx2y + -2dx = 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.
cdosxy + densx2y + -1densx2y + -2dx = 0 + -1densx2y

Combine like terms: densx2y + -1densx2y = 0
cdosxy + 0 + -2dx = 0 + -1densx2y
cdosxy + -2dx = 0 + -1densx2y
Remove the zero:
cdosxy + -2dx = -1densx2y

Add '2dx' to each side of the equation.
cdosxy + -2dx + 2dx = -1densx2y + 2dx

Combine like terms: -2dx + 2dx = 0
cdosxy + 0 = -1densx2y + 2dx
cdosxy = -1densx2y + 2dx

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

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

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