(3x+4y)dx+(4x-3y)dy=c

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Solution for (3x+4y)dx+(4x-3y)dy=c equation: 


Simplifying
(3x + 4y) * dx + (4x + -3y) * dy = c

Reorder the terms for easier multiplication:
dx(3x + 4y) + (4x + -3y) * dy = c
(3x * dx + 4y * dx) + (4x + -3y) * dy = c

Reorder the terms:
(4dxy + 3dx2) + (4x + -3y) * dy = c
(4dxy + 3dx2) + (4x + -3y) * dy = c

Reorder the terms for easier multiplication:
4dxy + 3dx2 + dy(4x + -3y) = c
4dxy + 3dx2 + (4x * dy + -3y * dy) = c
4dxy + 3dx2 + (4dxy + -3dy2) = c

Reorder the terms:
4dxy + 4dxy + 3dx2 + -3dy2 = c

Combine like terms: 4dxy + 4dxy = 8dxy
8dxy + 3dx2 + -3dy2 = c

Solving
8dxy + 3dx2 + -3dy2 = c

Solving for variable 'd'.

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

Reorder the terms:
-1c + 8dxy + 3dx2 + -3dy2 = c + -1c

Combine like terms: c + -1c = 0
-1c + 8dxy + 3dx2 + -3dy2 = 0

The solution to this equation could not be determined.

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