Assignment 2 Determine whether the following equation is a solution to the corresponding differential equation. 1. y = c₁e* + c₂ cos 3x + c3 sin 3x y""+y" +9y' + 9y = 0 2. y=c₁e* + c₂e-2x. 3. i 25-25e-2 -200t 19 8100 5. y sin 5x cos 3x -e³x + xe³x y" + 3y' + 2y = xe8x 90 di dt 4. x = A + By + Cy² + De-4y + 2001 - 50 = 0 xv + 4x = 0 y' = -sin 2x - 32 sin 8x

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