(cos(x)*cos(y)-cot(x))dx-(sen(x)*sen(y))dy=0

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Solution for (cos(x)*cos(y)-cot(x))dx-(sen(x)*sen(y))dy=0 equation:


Simplifying
(cos(x) * cos(y) + -1cot(x)) * dx + -1(sen(x) * sen(y)) * dy = 0

Multiply cos * x
(cosx * cos * y + -1cot(x)) * dx + -1(sen(x) * sen(y)) * dy = 0

Multiply cosx * cos
(c2o2s2x * y + -1cot(x)) * dx + -1(sen(x) * sen(y)) * dy = 0

Multiply c2o2s2x * y
(c2o2s2xy + -1cot(x)) * dx + -1(sen(x) * sen(y)) * dy = 0

Multiply cot * x
(c2o2s2xy + -1cotx) * dx + -1(sen(x) * sen(y)) * dy = 0

Reorder the terms:
(-1cotx + c2o2s2xy) * dx + -1(sen(x) * sen(y)) * dy = 0

Reorder the terms for easier multiplication:
dx(-1cotx + c2o2s2xy) + -1(sen(x) * sen(y)) * dy = 0
(-1cotx * dx + c2o2s2xy * dx) + -1(sen(x) * sen(y)) * dy = 0
(-1cdotx2 + c2do2s2x2y) + -1(sen(x) * sen(y)) * dy = 0

Multiply ens * x
-1cdotx2 + c2do2s2x2y + -1(ensx * ens * y) * dy = 0

Multiply ensx * ens
-1cdotx2 + c2do2s2x2y + -1(e2n2s2x * y) * dy = 0

Multiply e2n2s2x * y
-1cdotx2 + c2do2s2x2y + -1(e2n2s2xy) * dy = 0

Multiply e2n2s2xy * dy
-1cdotx2 + c2do2s2x2y + -1de2n2s2xy2 = 0

Solving
-1cdotx2 + c2do2s2x2y + -1de2n2s2xy2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'dx'.
dx(-1cotx + c2o2s2xy + -1e2n2s2y2) = 0

Subproblem 1

Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing c to the left, all other terms to the right. Add '-1dx' to each side of the equation. dx + -1dx = 0 + -1dx Remove the zero: 0 = -1dx Simplifying 0 = -1dx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1cotx + c2o2s2xy + -1e2n2s2y2)' equal to zero and attempt to solve: Simplifying -1cotx + c2o2s2xy + -1e2n2s2y2 = 0 Solving -1cotx + c2o2s2xy + -1e2n2s2y2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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