Solve the following with 3 decimal places if necessary 1. Solve the following initial value problems by the Laplace Transform. i. y" -y = 0 ii. y" – 4y' + 4y = 0 iii. y" + 2y' + 5y = 50t – 150 y(0) =...

Extracted text: Solve the following with 3 decimal places if necessary 1. Solve the following initial value problems by the Laplace Transform. i. y" -y = 0 ii. y" – 4y' + 4y = 0 iii. y" + 2y' + 5y = 50t – 150 y(0) = 4 y'(0) = 0 y(0) = 2.1 y'(0) = 3.9 y(3) = -4 y'(3) = 14