(x^2*D^2+1)y=0

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Solution for (x^2*D^2+1)y=0 equation: 


Simplifying
(x2 * D2 + 1) * y = 0

Multiply x2 * D2
(x2D2 + 1) * y = 0

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

Reorder the terms for easier multiplication:
y(1 + x2D2) = 0
(1 * y + x2D2 * y) = 0

Reorder the terms:
(x2yD2 + 1y) = 0
(x2yD2 + 1y) = 0

Solving
x2yD2 + 1y = 0

Solving for variable 'x'.

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

Add '-1y' to each side of the equation.
x2yD2 + 1y + -1y = 0 + -1y

Combine like terms: 1y + -1y = 0
x2yD2 + 0 = 0 + -1y
x2yD2 = 0 + -1y
Remove the zero:
x2yD2 = -1y

Divide each side by 'yD2'.
x2 = -1D-2

Simplifying
x2 = -1D-2

Reorder the terms:
D-2 + x2 = -1D-2 + D-2

Combine like terms: -1D-2 + D-2 = 0
D-2 + x2 = 0

The solution to this equation could not be determined.

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