(5x+3y)dx+(3x-8y^3)dy=z

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Solution for (5x+3y)dx+(3x-8y^3)dy=z equation:


Simplifying
(5x + 3y) * dx + (3x + -8y3) * dy = z

Reorder the terms for easier multiplication:
dx(5x + 3y) + (3x + -8y3) * dy = z
(5x * dx + 3y * dx) + (3x + -8y3) * dy = z

Reorder the terms:
(3dxy + 5dx2) + (3x + -8y3) * dy = z
(3dxy + 5dx2) + (3x + -8y3) * dy = z

Reorder the terms for easier multiplication:
3dxy + 5dx2 + dy(3x + -8y3) = z
3dxy + 5dx2 + (3x * dy + -8y3 * dy) = z
3dxy + 5dx2 + (3dxy + -8dy4) = z

Reorder the terms:
3dxy + 3dxy + 5dx2 + -8dy4 = z

Combine like terms: 3dxy + 3dxy = 6dxy
6dxy + 5dx2 + -8dy4 = z

Solving
6dxy + 5dx2 + -8dy4 = z

Solving for variable 'd'.

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

Combine like terms: z + -1z = 0
6dxy + 5dx2 + -8dy4 + -1z = 0

The solution to this equation could not be determined.

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