2ydx+(x-sin(sqrt(y)))dy=0

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Solution for 2ydx+(x-sin(sqrt(y)))dy=0 equation: 


Simplifying
2ydx + (x + -1sin(sqrt(y))) * dy = 0

Multiply qrst * y
2dxy + (x + -1ins(qrsty)) * dy = 0

Multiply ins * qrsty
2dxy + (x + -1inqrs2ty) * dy = 0

Reorder the terms:
2dxy + (-1inqrs2ty + x) * dy = 0

Reorder the terms for easier multiplication:
2dxy + dy(-1inqrs2ty + x) = 0
2dxy + (-1inqrs2ty * dy + x * dy) = 0
2dxy + (-1dinqrs2ty2 + dxy) = 0

Reorder the terms:
-1dinqrs2ty2 + 2dxy + dxy = 0

Combine like terms: 2dxy + dxy = 3dxy
-1dinqrs2ty2 + 3dxy = 0

Solving
-1dinqrs2ty2 + 3dxy = 0

Solving for variable 'd'.

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

Factor out the Greatest Common Factor (GCF), 'dy'.
dy(-1inqrs2ty + 3x) = 0


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

Simplifying
dy = 0

Solving
dy = 0

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

Simplifying
dy = 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 '(-1inqrs2ty + 3x)' equal to zero and attempt to solve:

Simplifying
-1inqrs2ty + 3x = 0

Solving
-1inqrs2ty + 3x = 0

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

Add 'inqrs2ty' to each side of the equation.
-1inqrs2ty + inqrs2ty + 3x = 0 + inqrs2ty

Combine like terms: -1inqrs2ty + inqrs2ty = 0
0 + 3x = 0 + inqrs2ty
3x = 0 + inqrs2ty
Remove the zero:
3x = inqrs2ty

Add '-3x' to each side of the equation.
3x + -3x = inqrs2ty + -3x

Combine like terms: 3x + -3x = 0
0 = inqrs2ty + -3x

Simplifying
0 = inqrs2ty + -3x

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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