Use the Laplace transform to solve the given initial-value problem. y" – 3y' = 8e2t –...
differential equations Use the Laplace transform to solve the given initial-value problem. y' + 3y = et, y(0) = 2 y(t) =
Use the Laplace transform to solve the given initial-value problem.y' + 3y = e4t, y(0) = 2y(t) =
se the Laplace transform to solve the given initial-value problem. y' + 3y = e5t, y(0) = 2 y(t) =
Use the Laplace transform to solve the initial value problem: y" - 3y' + 2y = 4t + ezt, y(0) = 1, y'(0) = -1
(1 point) Use the Laplace transform to solve the following initial value problem: y" + 3y = 0 y(0) = -1, y(0) = 7 First, using Y for the Laplace transform of y(t), i.e.. Y = C{y(t)} find the equation you get by taking the Laplace transform of the differential equation = 0 Now solve for Y (8) and write the above answer in its partial fraction decomposition, Y(s) Y(8) = B b where a <b sta !! Now by...
(6 points) Use the Laplace transform to solve the following initial value problem: y" + 3y' = 0 y(0) = -3, y'(0) = 6 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation = 0 = = + Now solve for Y(s) and write the above answer in its partial fraction decomposition, Y(s) where a <b Y(S) B s+b sta + Now...
17. Use the Laplace transform to solve the initial value problem: y" + 4y' + 4y = 2e-, y(0) = 1, (O) = 3. 18. Use the Laplace transform to solve the initial value problem: 4y" – 4y + 5y = 4 sin(t) – 4 cos(1), y(0) = 0, y(0) = 11/17.
Use the Laplace transform to solve the given initial value problem. y" – y' – 12y = 0; y(0) = 1, y'(0) = -1 (t) =
2. Use the Laplace Transform to solve the initial value problem y"-3y'+2y=h(t), y(O)=0, y'(0)=0, where h (t) = { 0,0<t<4 2, t>4
Use the Laplace transform to solve the given initial-value problem. y" + 6y' + 5y = 0, y(0) = 1, y'(O) = 0 y(t) =