Use the Laplace transform to solve the given initial-value problem.
y' + 3y = e4t, y(0) = 2
y(t) =
Use the Laplace transform to solve the given initial-value problem. y' + 3y = e4t, y(0) = 2 y(t) =
Use the Laplace transform to solve the given initial-value problem. y" – 3y' = 8e2t – 2e-, y(0) = 1, y'(0) = -1 y(t) =
differential equations Use the Laplace transform to solve the given initial-value problem. y' + 3y = et, y(0) = 2 y(t) =
se the Laplace transform to solve the given initial-value problem. y' + 3y = e5t, y(0) = 2 y(t) =
solve the following using laplace transform dy dt 3y(t) = e4t; y(0) = 0
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
Solve the following IVPs using Laplace Transform: 1) dy dt 3y(t) = e4t; y(0) = 0
Use the Laplace transform to solve the initial value problem: y" - 3y' + 2y = 4t + ezt, y(0) = 1, y'(0) = -1
9. Solve the initial value problem using the Laplace transform y" + 3y = f(t), y(0) = 0, y(0) = 1, where f(t) = { ( 1 home s 2, if 0 <t<5 1, if t > 5 (6
(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...
Use the Laplace transform to solve the given initial-value problem. so, 0 <t< 1 y' + y = f(t), y(0) = 0, where f(t) 17, t21 y(t) = + ult-