Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Q2 • Represent the initial value problem Q Q1(0) = 6; Q½ = 3 = 4 with a matrix equation 12 3 • Verify that 1 +2 4 e e is a solution. -2

Q2 • Represent the initial value problem Q Q1(0) = 6; Q½ = 3 = 4 with a matrix equation 12 3 • Verify that 1 +2 4 e e is a solution. -2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
- Represent the initial value problem \( Q_1' = \frac{Q_2}{12} - \frac{Q_1}{3}, \, Q_1(0) = 6; \, Q_2' = \frac{Q_1}{3} - \frac{Q_2}{3}, \, Q_2(0) = 4 \) with a matrix equation. - Verify that \( \vec{Q} = 4 \begin{bmatrix} 1 \\ 2 \end{bmatrix} e^{-\frac{1}{6}t} + 2 \begin{bmatrix} 1 \\ -2 \end{bmatrix} e^{-\frac{1}{2}t} \) is a solution.
Transcribed Image Text:- Represent the initial value problem \( Q_1' = \frac{Q_2}{12} - \frac{Q_1}{3}, \, Q_1(0) = 6; \, Q_2' = \frac{Q_1}{3} - \frac{Q_2}{3}, \, Q_2(0) = 4 \) with a matrix equation. - Verify that \( \vec{Q} = 4 \begin{bmatrix} 1 \\ 2 \end{bmatrix} e^{-\frac{1}{6}t} + 2 \begin{bmatrix} 1 \\ -2 \end{bmatrix} e^{-\frac{1}{2}t} \) is a solution.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
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,
SEE MORE TEXTBOOKS