(x^2d^2-3xd+4)y=x+x^2*lnx

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Solution for (x^2d^2-3xd+4)y=x+x^2*lnx equation:


Simplifying
(x2d2 + -3xd + 4) * y = x + x2 * lnx

Reorder the terms:
(4 + -3dx + d2x2) * y = x + x2 * lnx

Reorder the terms for easier multiplication:
y(4 + -3dx + d2x2) = x + x2 * lnx
(4 * y + -3dx * y + d2x2 * y) = x + x2 * lnx

Reorder the terms:
(-3dxy + d2x2y + 4y) = x + x2 * lnx
(-3dxy + d2x2y + 4y) = x + x2 * lnx

Multiply x2 * lnx
-3dxy + d2x2y + 4y = x + lnx3

Reorder the terms:
-3dxy + d2x2y + 4y = lnx3 + x

Solving
-3dxy + d2x2y + 4y = lnx3 + x

Solving for variable 'd'.

Reorder the terms:
-3dxy + d2x2y + -1lnx3 + -1x + 4y = lnx3 + x + -1lnx3 + -1x

Reorder the terms:
-3dxy + d2x2y + -1lnx3 + -1x + 4y = lnx3 + -1lnx3 + x + -1x

Combine like terms: lnx3 + -1lnx3 = 0
-3dxy + d2x2y + -1lnx3 + -1x + 4y = 0 + x + -1x
-3dxy + d2x2y + -1lnx3 + -1x + 4y = x + -1x

Combine like terms: x + -1x = 0
-3dxy + d2x2y + -1lnx3 + -1x + 4y = 0

The solution to this equation could not be determined.

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