x(x+3)dy-y(2x+3)dx=0

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Solution for x(x+3)dy-y(2x+3)dx=0 equation:


Simplifying
x(x + 3) * dy + -1y(2x + 3) * dx = 0

Reorder the terms:
x(3 + x) * dy + -1y(2x + 3) * dx = 0

Reorder the terms for easier multiplication:
x * dy(3 + x) + -1y(2x + 3) * dx = 0

Multiply x * dy
dxy(3 + x) + -1y(2x + 3) * dx = 0
(3 * dxy + x * dxy) + -1y(2x + 3) * dx = 0
(3dxy + dx2y) + -1y(2x + 3) * dx = 0

Reorder the terms:
3dxy + dx2y + -1y(3 + 2x) * dx = 0

Reorder the terms for easier multiplication:
3dxy + dx2y + -1y * dx(3 + 2x) = 0

Multiply y * dx
3dxy + dx2y + -1dxy(3 + 2x) = 0
3dxy + dx2y + (3 * -1dxy + 2x * -1dxy) = 0
3dxy + dx2y + (-3dxy + -2dx2y) = 0

Reorder the terms:
3dxy + -3dxy + dx2y + -2dx2y = 0

Combine like terms: 3dxy + -3dxy = 0
0 + dx2y + -2dx2y = 0
dx2y + -2dx2y = 0

Combine like terms: dx2y + -2dx2y = -1dx2y
-1dx2y = 0

Solving
-1dx2y = 0

Solving for variable 'd'.

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

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

Simplifying
dx2y = 0

The solution to this equation could not be determined.

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