Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 4, x₂ (0) = − 2. 7 -4 10 -7 x' = 3t X; X₁ = e 1 x₂ = e 3t 2 5 The particular solution is x₁ (t)= and x₂ (t) = |

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Need only a handwritten solution only (not a typed one).

Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 4, ×₂ (0) = − 2.
1
*-[=*=~~-~[]
X; X₁
X'
7 4
10 -7
The particular solution is x₁, (t) =
e
2
3t
and x₂ (t) =
5
Transcribed Image Text:Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 4, ×₂ (0) = − 2. 1 *-[=*=~~-~[] X; X₁ X' 7 4 10 -7 The particular solution is x₁, (t) = e 2 3t and x₂ (t) = 5
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,