Find the solution of the initial-value problem. Ly " - 3y " -y' +3y=0,y(0) = -5,y '(0) =3,y "(0) =-3] HINT: y(x) = e* is a solution of the differential equation. 3 15 e". 4 1 O y=-e*+ 3x e 4 y = 15 3x...

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Extracted text: Find the solution of the initial-value problem. Ly " - 3y " -y' +3y=0,y(0) = -5,y '(0) =3,y "(0) =-3] HINT: y(x) = e* is a solution of the differential equation. 3 15 e". 4 1 O y=-e*+ 3x e 4 y = 15 3x b) O y=- 3 + -X e e 4 - 15 e 4 3x e 4 c) e 2 + d) O y=- 15 + 4 3x e 4 -X + e 3 e 2 15 1 e) -x e 4 3x e 4 f) O None of the above.