For items 3 until 5: The solution for the IVP below is to be determine by Laplace Transforms. y' – y = e-2t, y(0) = 1 3. Which of the following gives the correct subsidiary equation? 1 A. sY + 1 + Y =...

Hi! I need answers in all these three questions. Would greatly appreciate an answer in at most 30 minutes. Thank you in advance!

Extracted text: For items 3 until 5: The solution for the IVP below is to be determine by Laplace Transforms. y' – y = e-2t, y(0) = 1 3. Which of the following gives the correct subsidiary equation? 1 A. sY + 1 + Y = – s – 2 1 B. sY – 1– Y = s + 2 | - 1 C. sY – 1+ Y = s – 2 1 D. sY + 1 – Y = s + 2 4. Which of the following gives the correct subsidiary equation in the form Y = F(s)? s + 3 Y = (s + 2)(s – 1) А. s – 1 B. Y = (s + 1)(s – 2) -1- s C. Y = (s + 2)(s – 1) 3 - s D. Y = (s + 1)(s – 2) 5. Which of the following gives the solution to the IVP? 4 1 A. y(t) =e2t -e %D | 3 3 1 4 B. y(t) = -ze“ e2t + -t 3 3 4 с. у(t) 1 -2t е et | 1 4 D. y(t) = -e" +e-2 3 3