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

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

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

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

Multiply qrsty * dy
2dxy + dqrsty2(-1ins + x) = 0
2dxy + (-1ins * dqrsty2 + x * dqrsty2) = 0
2dxy + (-1dinqrs2ty2 + dqrstxy2) = 0

Reorder the terms:
-1dinqrs2ty2 + dqrstxy2 + 2dxy = 0

Solving
-1dinqrs2ty2 + dqrstxy2 + 2dxy = 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 + qrstxy + 2x) = 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 + qrstxy + 2x)' equal to zero and attempt to solve:

Simplifying
-1inqrs2ty + qrstxy + 2x = 0

Solving
-1inqrs2ty + qrstxy + 2x = 0

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

Add 'inqrs2ty' to each side of the equation.
-1inqrs2ty + qrstxy + inqrs2ty + 2x = 0 + inqrs2ty

Reorder the terms:
-1inqrs2ty + inqrs2ty + qrstxy + 2x = 0 + inqrs2ty

Combine like terms: -1inqrs2ty + inqrs2ty = 0
0 + qrstxy + 2x = 0 + inqrs2ty
qrstxy + 2x = 0 + inqrs2ty
Remove the zero:
qrstxy + 2x = inqrs2ty

Add '-1qrstxy' to each side of the equation.
qrstxy + -1qrstxy + 2x = inqrs2ty + -1qrstxy

Combine like terms: qrstxy + -1qrstxy = 0
0 + 2x = inqrs2ty + -1qrstxy
2x = inqrs2ty + -1qrstxy

Add '-2x' to each side of the equation.
2x + -2x = inqrs2ty + -1qrstxy + -2x

Combine like terms: 2x + -2x = 0
0 = inqrs2ty + -1qrstxy + -2x

Simplifying
0 = inqrs2ty + -1qrstxy + -2x

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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