(D-4D+3)y=2xe^3+3eCos*2x

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Solution for (D-4D+3)y=2xe^3+3eCos*2x equation:


Simplifying
(D + -4D + 3) * y = 2xe3 + 3eCos * 2x

Reorder the terms:
(3 + D + -4D) * y = 2xe3 + 3eCos * 2x

Combine like terms: D + -4D = -3D
(3 + -3D) * y = 2xe3 + 3eCos * 2x

Reorder the terms for easier multiplication:
y(3 + -3D) = 2xe3 + 3eCos * 2x
(3 * y + -3D * y) = 2xe3 + 3eCos * 2x
(3y + -3yD) = 2xe3 + 3eCos * 2x

Reorder the terms for easier multiplication:
3y + -3yD = 2e3x + 3 * 2eosC * x

Multiply 3 * 2
3y + -3yD = 2e3x + 6eosC * x

Multiply eosC * x
3y + -3yD = 2e3x + 6eosxC

Reorder the terms:
3y + -3yD = 6eosxC + 2e3x

Solving
3y + -3yD = 6eosxC + 2e3x

Solving for variable 'y'.

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

Reorder the terms:
-6eosxC + -2e3x + 3y + -3yD = 6eosxC + 2e3x + -6eosxC + -2e3x

Reorder the terms:
-6eosxC + -2e3x + 3y + -3yD = 6eosxC + -6eosxC + 2e3x + -2e3x

Combine like terms: 6eosxC + -6eosxC = 0
-6eosxC + -2e3x + 3y + -3yD = 0 + 2e3x + -2e3x
-6eosxC + -2e3x + 3y + -3yD = 2e3x + -2e3x

Combine like terms: 2e3x + -2e3x = 0
-6eosxC + -2e3x + 3y + -3yD = 0

The solution to this equation could not be determined.

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