(d^4+4d+d)dy=0

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Solution for (d^4+4d+d)dy=0 equation:


Simplifying
(d4 + 4d + d) * dy = 0

Reorder the terms:
(4d + d + d4) * dy = 0

Combine like terms: 4d + d = 5d
(5d + d4) * dy = 0

Reorder the terms for easier multiplication:
dy(5d + d4) = 0
(5d * dy + d4 * dy) = 0
(5d2y + d5y) = 0

Solving
5d2y + d5y = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), 'd2y'.
d2y(5 + d3) = 0

Subproblem 1

Set the factor 'd2y' equal to zero and attempt to solve: Simplifying d2y = 0 Solving d2y = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d2y = 0 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 '(5 + d3)' equal to zero and attempt to solve: Simplifying 5 + d3 = 0 Solving 5 + d3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + d3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + d3 = 0 + -5 d3 = 0 + -5 Combine like terms: 0 + -5 = -5 d3 = -5 Simplifying d3 = -5 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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