(x*D^2-4D)y=0

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Solution for (x*D^2-4D)y=0 equation:


Simplifying
(x * D2 + -4D) * y = 0

Multiply x * D2
(xD2 + -4D) * y = 0

Reorder the terms:
(-4D + xD2) * y = 0

Reorder the terms for easier multiplication:
y(-4D + xD2) = 0
(-4D * y + xD2 * y) = 0

Reorder the terms:
(xyD2 + -4yD) = 0
(xyD2 + -4yD) = 0

Solving
xyD2 + -4yD = 0

Solving for variable 'x'.

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

Add '4yD' to each side of the equation.
xyD2 + -4yD + 4yD = 0 + 4yD

Combine like terms: -4yD + 4yD = 0
xyD2 + 0 = 0 + 4yD
xyD2 = 0 + 4yD
Remove the zero:
xyD2 = 4yD

Divide each side by 'yD2'.
x = 4D-1

Simplifying
x = 4D-1

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