Solve the initial value problem below using the method of Laplace transforms. y" - 16y=80t-24e-4, y(0) = 0, y (0) = 30 Click here to view the table of I oploco transformo
Solve the initial value problem below using the method of Laplace transforms. y" - 16y=80t-24e-4, y(0) = 0, y (0) = 30 Click here to view the table of I oploco transformo
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Solve the Initial Value Problem Using Laplace Transforms**
Solve the initial value problem below using the method of Laplace transforms.
\[
y'' - 16y = 80t - 24e^{-4t}, \quad y(0) = 0, \quad y'(0) = 30
\]
- Click here to view the [table of Laplace transforms](#).
- Click here to view the [table of properties of Laplace transforms](#).
---
**Solution:**
\( y(t) = \) [ ]
(Type an exact answer in terms of \( e \).)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa827acfe-a0bc-46c0-ab61-62657df3b5db%2F71dd7002-b11a-4683-8410-1fde955c8de5%2F6li7evq_processed.png&w=3840&q=75)
Transcribed Image Text:**Solve the Initial Value Problem Using Laplace Transforms**
Solve the initial value problem below using the method of Laplace transforms.
\[
y'' - 16y = 80t - 24e^{-4t}, \quad y(0) = 0, \quad y'(0) = 30
\]
- Click here to view the [table of Laplace transforms](#).
- Click here to view the [table of properties of Laplace transforms](#).
---
**Solution:**
\( y(t) = \) [ ]
(Type an exact answer in terms of \( e \).)
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