x"+ 4x' + 3x = 30 cos (3t), x (0) = 1, Solve the above IVP and then find x(0.25). Put x(0.25) accurately calculated to the nearest thousandth (3 decimal places). Notation: d²x dt² x"=- dx and x'=- dt and x = x (t) x'(0) = 2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
icon
Related questions
Question
x"+ 4x' + 3x = 30 cos (3t), x (0) = 1,
Solve the above IVP and then find x(0.25).
Put x(0.25) accurately calculated to the nearest thousandth (3 decimal places).
Notation:
x"=
d²x
dt²
dx
and x'=- and x = x (t)
dt
canned with CamScanner
x'(0) = 2
Transcribed Image Text:x"+ 4x' + 3x = 30 cos (3t), x (0) = 1, Solve the above IVP and then find x(0.25). Put x(0.25) accurately calculated to the nearest thousandth (3 decimal places). Notation: x"= d²x dt² dx and x'=- and x = x (t) dt canned with CamScanner x'(0) = 2
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,