(d^3+2d^2-3d)y=3e^3x+4sinx

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Solution for (d^3+2d^2-3d)y=3e^3x+4sinx equation:


Simplifying
(d3 + 2d2 + -3d) * y = 3e3x + 4sinx

Reorder the terms:
(-3d + 2d2 + d3) * y = 3e3x + 4sinx

Reorder the terms for easier multiplication:
y(-3d + 2d2 + d3) = 3e3x + 4sinx
(-3d * y + 2d2 * y + d3 * y) = 3e3x + 4sinx
(-3dy + 2d2y + d3y) = 3e3x + 4sinx

Solving
-3dy + 2d2y + d3y = 3e3x + 4insx

Solving for variable 'd'.

Reorder the terms:
-3dy + 2d2y + d3y + -3e3x + -4insx = 3e3x + -3e3x + 4insx + -4insx

Combine like terms: 3e3x + -3e3x = 0
-3dy + 2d2y + d3y + -3e3x + -4insx = 0 + 4insx + -4insx
-3dy + 2d2y + d3y + -3e3x + -4insx = 4insx + -4insx

Combine like terms: 4insx + -4insx = 0
-3dy + 2d2y + d3y + -3e3x + -4insx = 0

The solution to this equation could not be determined.

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