(y^2+3xy)dx=(4x^2+xy)dy

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Solution for (y^2+3xy)dx=(4x^2+xy)dy equation:


Simplifying
(y2 + 3xy) * dx = (4x2 + xy) * dy

Reorder the terms:
(3xy + y2) * dx = (4x2 + xy) * dy

Reorder the terms for easier multiplication:
dx(3xy + y2) = (4x2 + xy) * dy
(3xy * dx + y2 * dx) = (4x2 + xy) * dy

Reorder the terms:
(dxy2 + 3dx2y) = (4x2 + xy) * dy
(dxy2 + 3dx2y) = (4x2 + xy) * dy

Reorder the terms:
dxy2 + 3dx2y = (xy + 4x2) * dy

Reorder the terms for easier multiplication:
dxy2 + 3dx2y = dy(xy + 4x2)
dxy2 + 3dx2y = (xy * dy + 4x2 * dy)
dxy2 + 3dx2y = (dxy2 + 4dx2y)

Add '-1dxy2' to each side of the equation.
dxy2 + -1dxy2 + 3dx2y = dxy2 + -1dxy2 + 4dx2y

Combine like terms: dxy2 + -1dxy2 = 0
0 + 3dx2y = dxy2 + -1dxy2 + 4dx2y
3dx2y = dxy2 + -1dxy2 + 4dx2y

Combine like terms: dxy2 + -1dxy2 = 0
3dx2y = 0 + 4dx2y
3dx2y = 4dx2y

Solving
3dx2y = 4dx2y

Solving for variable 'd'.

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

Add '-4dx2y' to each side of the equation.
3dx2y + -4dx2y = 4dx2y + -4dx2y

Combine like terms: 3dx2y + -4dx2y = -1dx2y
-1dx2y = 4dx2y + -4dx2y

Combine like terms: 4dx2y + -4dx2y = 0
-1dx2y = 0

Divide each side by '-1'.
dx2y = 0

Simplifying
dx2y = 0

The solution to this equation could not be determined.

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