(x^2D^2+xD+I)y=0

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Solution for (x^2D^2+xD+I)y=0 equation:


Simplifying
(x2D2 + xD + I) * y = 0

Reorder the terms:
(I + xD + x2D2) * y = 0

Reorder the terms for easier multiplication:
y(I + xD + x2D2) = 0
(I * y + xD * y + x2D2 * y) = 0

Reorder the terms:
(xyD + x2yD2 + yI) = 0
(xyD + x2yD2 + yI) = 0

Solving
xyD + x2yD2 + yI = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(xD + x2D2 + I) = 0

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(xD + x2D2 + I)' equal to zero and attempt to solve: Simplifying xD + x2D2 + I = 0 Reorder the terms: I + xD + x2D2 = 0 Solving I + xD + x2D2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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