Try Magic Notes and save time.Try it free
Try Magic Notes and save timeCrush your year with the magic of personalized studying.Try it free
Question

Write the vector formulation for the given system of differential equations.$x _ { 1 } ^ { \prime } = e ^ { 2 t } x _ { 2 } , x _ { 2 } ^ { \prime } + ( \sin t ) x _ { 1 } = 1.$

Solution

Verified
Step 1
1 of 2

The vector formulation for the given system of differential equations is:

$\begin{equation*} \begin{bmatrix} x_1' \\ x_2' \\ \end{bmatrix}=\begin{bmatrix} 0 & e^{2t} \\ -\sin{t} & 0 \\ \end{bmatrix} \cdot \begin{bmatrix} x_1 \\ x_2 \\ \end{bmatrix}+\begin{bmatrix} 0 \\ 1 \\ \end{bmatrix} \end{equation*}$

Recommended textbook solutions

Differential Equations and Linear Algebra

2nd EditionISBN: 9780131860612 (4 more)Beverly H. West, Hall, Jean Marie McDill, Jerry Farlow
2,405 solutions

Differential Equations and Linear Algebra

4th EditionISBN: 9780134497181 (2 more)C. Henry Edwards, David Calvis, David E. Penney
2,531 solutions

Linear Algebra and Differential Equations

1st EditionISBN: 9780201662122Gary Peterson, James Sochacki
1,217 solutions

Differential Equations and Linear Algebra

4th EditionISBN: 9780321964670Scott A. Annin, Stephen W. Goode
3,457 solutions