Use Laplace transforms to solve the following initial value problem. y'' + y = 1, y(0) = 1, y'(0) = 1 ... Find the transformed equation. Choose the correct answer below. A. £{y'' (t)}+ £{y' (t)} = B. £{y'' (t)}+{y'(t)} = 1 S C. £{y''(t)}+{y(t)} = 1 D. £{y''(t)}+ £{y(t)} = S Find the solution. y(t)=1+ sint (Type an exact answer.)
Use Laplace transforms to solve the following initial value problem. y'' + y = 1, y(0) = 1, y'(0) = 1 ... Find the transformed equation. Choose the correct answer below. A. £{y'' (t)}+ £{y' (t)} = B. £{y'' (t)}+{y'(t)} = 1 S C. £{y''(t)}+{y(t)} = 1 D. £{y''(t)}+ £{y(t)} = S Find the solution. y(t)=1+ sint (Type an exact answer.)
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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Transcribed Image Text:Use Laplace transforms to solve the following initial value problem.
y'' + y = 1, y(0) = 1, y'(0) = 1
...
Find the transformed equation. Choose the correct answer below.
A. £{y'' (t)}+ £{y' (t)} =
B. £{y'' (t)}+{y'(t)} = 1
S
C. £{y''(t)}+{y(t)} = 1
D. £{y''(t)}+ £{y(t)} =
S
Find the solution.
y(t)=1+ sint (Type an exact answer.)
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