xdy=(x*sin*x-y)dx

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Solution for xdy=(x*sin*x-y)dx equation: 


Simplifying
xdy = (x * sin * x + -1y) * dx

Multiply x * ins
dxy = (insx * x + -1y) * dx

Multiply insx * x
dxy = (insx2 + -1y) * dx

Reorder the terms for easier multiplication:
dxy = dx(insx2 + -1y)
dxy = (insx2 * dx + -1y * dx)
dxy = (dinsx3 + -1dxy)

Solving
dxy = dinsx3 + -1dxy

Solving for variable 'd'.

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

Add '-1dinsx3' to each side of the equation.
-1dinsx3 + dxy = dinsx3 + -1dinsx3 + -1dxy

Combine like terms: dinsx3 + -1dinsx3 = 0
-1dinsx3 + dxy = 0 + -1dxy
-1dinsx3 + dxy = -1dxy

Add 'dxy' to each side of the equation.
-1dinsx3 + dxy + dxy = -1dxy + dxy

Combine like terms: dxy + dxy = 2dxy
-1dinsx3 + 2dxy = -1dxy + dxy

Combine like terms: -1dxy + dxy = 0
-1dinsx3 + 2dxy = 0

Factor out the Greatest Common Factor (GCF), 'dx'.
dx(-1insx2 + 2y) = 0


Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve:

Simplifying
dx = 0

Solving
dx = 0

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

Simplifying
dx = 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 '(-1insx2 + 2y)' equal to zero and attempt to solve:

Simplifying
-1insx2 + 2y = 0

Solving
-1insx2 + 2y = 0

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

Add 'insx2' to each side of the equation.
-1insx2 + insx2 + 2y = 0 + insx2

Combine like terms: -1insx2 + insx2 = 0
0 + 2y = 0 + insx2
2y = 0 + insx2
Remove the zero:
2y = insx2

Add '-2y' to each side of the equation.
2y + -2y = insx2 + -2y

Combine like terms: 2y + -2y = 0
0 = insx2 + -2y

Simplifying
0 = insx2 + -2y

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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