Question

Solve the third-order initial value problem below using the method of Laplace transforms.\ y''' + 3y'' - 8y' - 30y = 24e^{-3t}, y(0) = 0, y'(0) = 18, y''(0) = -1\ Click here to view the table of Laplace transforms.\ Click here to view the table of properties of Laplace transforms.\ y(t) = \ (Type an exact answer in terms of e.)

Name: Solve the third-order initial value problem below using the method of Laplace transforms.y”' + 3y” - 8y' - 30y = 24e^-3t, y(0) = 0, y'(0) = 18, y”(0) = -1Click here to view the table of Laplace transforms.Click here to view the table of properties of Laplace transforms.y(t) = (Type an exact answer in terms of e.)
Uploaded: 2023-06-21T05:12:29-08:00
Duration: 5 min 33 s
Channel: Madhur L
Description: Solve the third-order initial value problem below using the method of Laplace transforms.y”' + 3y” - 8y' - 30y = 24e^-3t, y(0) = 0, y'(0) = 18, y”(0) = -1Click here to view the table of Laplace transforms.Click here to view the table of properties of Laplace transforms.y(t) = (Type an exact answer in terms of e.)

          Solve the third-order initial value problem below using the method of Laplace transforms.\
y''' + 3y'' - 8y' - 30y = 24e^{-3t}, y(0) = 0, y'(0) = 18, y''(0) = -1\
Click here to view the table of Laplace transforms.\
Click here to view the table of properties of Laplace transforms.\
y(t) = \
(Type an exact answer in terms of e.)

Solve the third-order initial value problem below using the method of Laplace transforms.y”' + 3y” - 8y' - 30y = 24e^-3t, y(0) = 0, y'(0) = 18, y”(0) = -1Click here to view the table of Laplace transforms.Click here to view the table of properties of Laplace transforms.y(t) = (Type an exact answer in terms of e.)

Added by Jodi G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

06/21/2023

Step 1

The third-order initial value problem can be written as: \[y'''(t) + 2y''(t) + y'(t) = 0, \quad y(0) = 1, \quad y'(0) = 0, \quad y''(0) = 2\] Show more…

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need some help Solve the third-order initial value problem below using the method of Laplace transforms. Click here to view the table of Laplace transforms Click here to view the table of properties of Laplace transforms y(t)= (Type an exact answer in terms of e.