(15D^2-2D-1)y=3x+65sinx

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Solution for (15D^2-2D-1)y=3x+65sinx equation: 


Simplifying
(15D2 + -2D + -1) * y = 3x + 65sinx

Reorder the terms:
(-1 + -2D + 15D2) * y = 3x + 65sinx

Reorder the terms for easier multiplication:
y(-1 + -2D + 15D2) = 3x + 65sinx
(-1 * y + -2D * y + 15D2 * y) = 3x + 65sinx
(-1y + -2yD + 15yD2) = 3x + 65sinx

Reorder the terms:
-1y + -2yD + 15yD2 = 65insx + 3x

Solving
-1y + -2yD + 15yD2 = 65insx + 3x

Solving for variable 'y'.

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

Reorder the terms:
-65insx + -3x + -1y + -2yD + 15yD2 = 65insx + 3x + -65insx + -3x

Reorder the terms:
-65insx + -3x + -1y + -2yD + 15yD2 = 65insx + -65insx + 3x + -3x

Combine like terms: 65insx + -65insx = 0
-65insx + -3x + -1y + -2yD + 15yD2 = 0 + 3x + -3x
-65insx + -3x + -1y + -2yD + 15yD2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-65insx + -3x + -1y + -2yD + 15yD2 = 0

The solution to this equation could not be determined.

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