sinx*cosx*dx+cosx*sinx*dy=0

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Solution for sinx*cosx*dx+cosx*sinx*dy=0 equation:


Simplifying
sinx * cosx * dx + cosx * sinx * dy = 0

Multiply insx * cosx
cinos2x2 * dx + cosx * sinx * dy = 0

Multiply cinos2x2 * dx
cdinos2x3 + cosx * sinx * dy = 0

Multiply cosx * insx
cdinos2x3 + cinos2x2 * dy = 0

Multiply cinos2x2 * dy
cdinos2x3 + cdinos2x2y = 0

Reorder the terms:
cdinos2x2y + cdinos2x3 = 0

Solving
cdinos2x2y + cdinos2x3 = 0

Solving for variable 'c'.

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

Factor out the Greatest Common Factor (GCF), 'cdinos2x2'.
cdinos2x2(y + x) = 0

Subproblem 1

Set the factor 'cdinos2x2' equal to zero and attempt to solve: Simplifying cdinos2x2 = 0 Solving cdinos2x2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cdinos2x2 = 0 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 '(y + x)' equal to zero and attempt to solve: Simplifying y + x = 0 Reorder the terms: x + y = 0 Solving x + y = 0 Move all terms containing c to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x + y = 0 + -1x Combine like terms: x + -1x = 0 0 + y = 0 + -1x y = 0 + -1x Remove the zero: y = -1x Add '-1y' to each side of the equation. y + -1y = -1x + -1y Combine like terms: y + -1y = 0 0 = -1x + -1y Simplifying 0 = -1x + -1y 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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