Prove that the given equation is a solution to the given DE: 1. = C,e3* + C2e2x + C3e* ; y" – 6y" + 11y' - 6y = 0 2. = x2 + 4x; xy' = x² + y 3. y = e3*; y"– 4y" – 4y' + 16y = 0 %3D | 4. y = (x + C)e¯*; y'+ y = e-* 5. x = 2t + C; y = Ct + 3 ; 2(y')² – xy' = 3- y %3D |

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