(d^2-5d+6)y=sin(3x+z)

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Solution for (d^2-5d+6)y=sin(3x+z) equation: 


Simplifying
(d2 + -5d + 6) * y = sin(3x + z)

Reorder the terms:
(6 + -5d + d2) * y = sin(3x + z)

Reorder the terms for easier multiplication:
y(6 + -5d + d2) = sin(3x + z)
(6 * y + -5d * y + d2 * y) = sin(3x + z)

Reorder the terms:
(-5dy + d2y + 6y) = sin(3x + z)
(-5dy + d2y + 6y) = sin(3x + z)
-5dy + d2y + 6y = (3x * ins + z * ins)
-5dy + d2y + 6y = (3insx + insz)

Solving
-5dy + d2y + 6y = 3insx + insz

Solving for variable 'd'.

Reorder the terms:
-5dy + d2y + -3insx + -1insz + 6y = 3insx + insz + -3insx + -1insz

Reorder the terms:
-5dy + d2y + -3insx + -1insz + 6y = 3insx + -3insx + insz + -1insz

Combine like terms: 3insx + -3insx = 0
-5dy + d2y + -3insx + -1insz + 6y = 0 + insz + -1insz
-5dy + d2y + -3insx + -1insz + 6y = insz + -1insz

Combine like terms: insz + -1insz = 0
-5dy + d2y + -3insx + -1insz + 6y = 0

The solution to this equation could not be determined.

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