solvex(x-y)dy+y^2dx=0

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Solution for solvex(x-y)dy+y^2dx=0 equation:


Simplifying
solvex(x + -1y) * dy + y2dx = 0

Reorder the terms for easier multiplication:
elosvx * dy(x + -1y) + y2dx = 0

Multiply elosvx * dy
delosvxy(x + -1y) + y2dx = 0
(x * delosvxy + -1y * delosvxy) + y2dx = 0

Reorder the terms:
(-1delosvxy2 + delosvx2y) + y2dx = 0
(-1delosvxy2 + delosvx2y) + y2dx = 0

Solving
-1delosvxy2 + delosvx2y + dxy2 = 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), 'dxy'.
dxy(-1elosvy + elosvx + y) = 0

Subproblem 1

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