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.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 8CR
Question

is this problem correct differential equations problem 

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.)
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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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,