(6x+y^2)dx+y(2x+3y)dy=o

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Solution for (6x+y^2)dx+y(2x+3y)dy=o equation: 


Simplifying
(6x + y2) * dx + y(2x + 3y) * dy = o

Reorder the terms for easier multiplication:
dx(6x + y2) + y(2x + 3y) * dy = o
(6x * dx + y2 * dx) + y(2x + 3y) * dy = o

Reorder the terms:
(dxy2 + 6dx2) + y(2x + 3y) * dy = o
(dxy2 + 6dx2) + y(2x + 3y) * dy = o

Reorder the terms for easier multiplication:
dxy2 + 6dx2 + y * dy(2x + 3y) = o

Multiply y * dy
dxy2 + 6dx2 + dy2(2x + 3y) = o
dxy2 + 6dx2 + (2x * dy2 + 3y * dy2) = o
dxy2 + 6dx2 + (2dxy2 + 3dy3) = o

Reorder the terms:
dxy2 + 2dxy2 + 6dx2 + 3dy3 = o

Combine like terms: dxy2 + 2dxy2 = 3dxy2
3dxy2 + 6dx2 + 3dy3 = o

Solving
3dxy2 + 6dx2 + 3dy3 = o

Solving for variable 'd'.

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

Combine like terms: o + -1o = 0
3dxy2 + 6dx2 + 3dy3 + -1o = 0

The solution to this equation could not be determined.

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