D^2y-4dy+y=0

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Solution for D^2y-4dy+y=0 equation:


Simplifying
D2y + -4dy + y = 0

Reorder the terms:
-4dy + y + yD2 = 0

Solving
-4dy + y + yD2 = 0

Solving for variable 'd'.

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

Add '-1y' to each side of the equation.
-4dy + y + -1y + yD2 = 0 + -1y

Combine like terms: y + -1y = 0
-4dy + 0 + yD2 = 0 + -1y
-4dy + yD2 = 0 + -1y
Remove the zero:
-4dy + yD2 = -1y

Add '-1yD2' to each side of the equation.
-4dy + yD2 + -1yD2 = -1y + -1yD2

Combine like terms: yD2 + -1yD2 = 0
-4dy + 0 = -1y + -1yD2
-4dy = -1y + -1yD2

Divide each side by '-4y'.
d = 0.25 + 0.25D2

Simplifying
d = 0.25 + 0.25D2

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