ydx-(2x+y^5)dy=0

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Solution for ydx-(2x+y^5)dy=0 equation:


Simplifying
ydx + -1(2x + y5) * dy = 0

Reorder the terms for easier multiplication:
dxy + -1dy(2x + y5) = 0
dxy + (2x * -1dy + y5 * -1dy) = 0
dxy + (-2dxy + -1dy6) = 0

Combine like terms: dxy + -2dxy = -1dxy
-1dxy + -1dy6 = 0

Solving
-1dxy + -1dy6 = 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), '-1dy'.
-1dy(x + y5) = 0

Ignore the factor -1.

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 '(x + y5)' equal to zero and attempt to solve: Simplifying x + y5 = 0 Solving x + y5 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x + y5 = 0 + -1x Combine like terms: x + -1x = 0 0 + y5 = 0 + -1x y5 = 0 + -1x Remove the zero: y5 = -1x Add '-1y5' to each side of the equation. y5 + -1y5 = -1x + -1y5 Combine like terms: y5 + -1y5 = 0 0 = -1x + -1y5 Simplifying 0 = -1x + -1y5 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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