Solve the following initial value problems using Laplace transform: 1. y" - 4y + 3y = 0, y(0) = 3, y'(0) = 7 2. y"+y = 3
Posted: Sun Jul 03, 2022 12:13 pm
Solve the following initial value problems using Laplace transform: 1. y" - 4y + 3y = 0, y(0) = 3, y'(0) = 7 2. y"+y = 3 cos 2t, y(0) = 0, y'(0) = 0 3. y" - 3y + 2y = 4t+e³t, y(0) = 1, y'(0) = -1 4. x"(t) – 2x’(t)+2x(t) = 0, x(0) = 1, x’(0) = 1 5. y' + 2y"+y = sint, y(0) = y'(0)=y" (0) = y"" (0) = 0