Search

Text Color

Margin Size

Font Type

Enable Dyslexic Font

14.19: Section 5.2 Answers

Last updated

Aug 11, 2020
Save as PDF
- 14.18: Section 5.1 Answers
- 14.20: Section 5.3 Answers

$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$

$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$

$\newcommand{\id}{\mathrm{id}}$ $\newcommand{\Span}{\mathrm{span}}$

( \newcommand{\kernel}{\mathrm{null}\,}\) $\newcommand{\range}{\mathrm{range}\,}$

$\newcommand{\RealPart}{\mathrm{Re}}$ $\newcommand{\ImaginaryPart}{\mathrm{Im}}$

$\newcommand{\Argument}{\mathrm{Arg}}$ $\newcommand{\norm}[1]{\| #1 \|}$

$\newcommand{\inner}[2]{\langle #1, #2 \rangle}$

$\newcommand{\Span}{\mathrm{span}}$

$\newcommand{\id}{\mathrm{id}}$

$\newcommand{\Span}{\mathrm{span}}$

$\newcommand{\kernel}{\mathrm{null}\,}$

$\newcommand{\range}{\mathrm{range}\,}$

$\newcommand{\RealPart}{\mathrm{Re}}$

$\newcommand{\ImaginaryPart}{\mathrm{Im}}$

$\newcommand{\Argument}{\mathrm{Arg}}$

$\newcommand{\norm}[1]{\| #1 \|}$

$\newcommand{\inner}[2]{\langle #1, #2 \rangle}$

$\newcommand{\Span}{\mathrm{span}}$ $\newcommand{\AA}{\unicode[.8,0]{x212B}}$

$\newcommand{\vectorA}[1]{\vec{#1}} % arrow$

$\newcommand{\vectorAt}[1]{\vec{\text{#1}}} % arrow$

$\newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$

$\newcommand{\vectorC}[1]{\textbf{#1}}$

$\newcommand{\vectorD}[1]{\overrightarrow{#1}}$

$\newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}}$

$\newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}}$

$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$

$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$

$\newcommand{\avec}{\mathbf a}$

$\newcommand{\bvec}{\mathbf b}$

$\newcommand{\cvec}{\mathbf c}$

$\newcommand{\dvec}{\mathbf d}$

$\newcommand{\dtil}{\widetilde{\mathbf d}}$

$\newcommand{\evec}{\mathbf e}$

$\newcommand{\fvec}{\mathbf f}$

$\newcommand{\nvec}{\mathbf n}$

$\newcommand{\pvec}{\mathbf p}$

$\newcommand{\qvec}{\mathbf q}$

$\newcommand{\svec}{\mathbf s}$

$\newcommand{\tvec}{\mathbf t}$

$\newcommand{\uvec}{\mathbf u}$

$\newcommand{\vvec}{\mathbf v}$

$\newcommand{\wvec}{\mathbf w}$

$\newcommand{\xvec}{\mathbf x}$

$\newcommand{\yvec}{\mathbf y}$

$\newcommand{\zvec}{\mathbf z}$

$\newcommand{\rvec}{\mathbf r}$

$\newcommand{\mvec}{\mathbf m}$

$\newcommand{\zerovec}{\mathbf 0}$

$\newcommand{\onevec}{\mathbf 1}$

$\newcommand{\real}{\mathbb R}$

$\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}$

$\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}$

$\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}$

$\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}$

$\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}$

$\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}$

$\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}$

$\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}$

$\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}$

$\newcommand{\laspan}[1]{\text{Span}\{#1\}}$

$\newcommand{\bcal}{\cal B}$

$\newcommand{\ccal}{\cal C}$

$\newcommand{\scal}{\cal S}$

$\newcommand{\wcal}{\cal W}$

$\newcommand{\ecal}{\cal E}$

$\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}$

$\newcommand{\gray}[1]{\color{gray}{#1}}$

$\newcommand{\lgray}[1]{\color{lightgray}{#1}}$

$\newcommand{\rank}{\operatorname{rank}}$

$\newcommand{\row}{\text{Row}}$

$\newcommand{\col}{\text{Col}}$

$\renewcommand{\row}{\text{Row}}$

$\newcommand{\nul}{\text{Nul}}$

$\newcommand{\var}{\text{Var}}$

$\newcommand{\corr}{\text{corr}}$

$\newcommand{\len}[1]{\left|#1\right|}$

$\newcommand{\bbar}{\overline{\bvec}}$

$\newcommand{\bhat}{\widehat{\bvec}}$

$\newcommand{\bperp}{\bvec^\perp}$

$\newcommand{\xhat}{\widehat{\xvec}}$

$\newcommand{\vhat}{\widehat{\vvec}}$

$\newcommand{\uhat}{\widehat{\uvec}}$

$\newcommand{\what}{\widehat{\wvec}}$

$\newcommand{\Sighat}{\widehat{\Sigma}}$

$\newcommand{\lt}{<}$

$\newcommand{\gt}{>}$

$\newcommand{\amp}{&}$

$\definecolor{fillinmathshade}{gray}{0.9}$

1. $y=c_{1}e^{-6x}+c_{2}e^{x}$

2. $y=e^{2x}(c_{1}\cos x+c_{2}\sin x)$

3. $y=c_{1}e^{-7x}+c_{2}e^{-x}$

4. $y=e^{2x}(c_{1}+c_{2}x)$

5. $y=e^{-x}(c_{1}\cos 3x+c_{2}\sin 3x)$

6. $y=e^{-3x}(c_{1}\cos x+c_{2}\sin x)$

7. $y=e^{4x}(c_{1}+c_{2}x)$

8. $y=c_{1}+c_{2}e^{-x}$

9. $y=e^{x}(c_{1}\cos\sqrt{2}x+c_{2}\sin\sqrt{2}x)$

10. $y=e^{-3x}(c_{1}\cos 2x+c_{2}\sin 2x)$

11. $y=e^{-x/2}\left(c_{1}\cos\frac{3x}{2}+c_{2}\sin\frac{3x}{2} \right)$

12. $y=c_{1}e^{-x/5}+c_{2}e^{x/2}$

13. $y = e ^{-7x} (2 \cos x − 3 \sin x)$

14. $y=4e^{x/2}+6e^{-x/3}$

15. $y=3e^{x/3}-4e^{-x/2}$

16. $y=\frac{e^{-x/2}}{3}+\frac{3e^{3x/2}}{4}$

17. $y=e^{3x/2}(3-2x)$

18. $y=3^{-4x}-4e^{-3x}$

19. $y=2xe^{3x}$

20. $y=e^{x/6}(3+2x)$

21. $y=e^{-2x}\left(3\cos\sqrt{6}x+\frac{2\sqrt{6}}{3}\sin\sqrt{6}x \right)$

23. $y=2e^{-(x-1)}-3e^{-2(x-1)}$

24. $y=\frac{1}{3}e^{-(x-2)}-\frac{2}{3}e^{7(x-2)}$

25. $y=e^{7(x-1)}(2-3(x-1))$

26. $y=e^{-(x-2)/3}(2-4(x-2))$

27. $y=2\cos\frac{2}{3}\left(x-\frac{\pi }{4} \right) -3\sin\frac{2}{3}\left(x-\frac{\pi }{4} \right)$

28. $y=2\cos\sqrt{3}\left( x-\frac{\pi }{3}\right)-\frac{1}{\sqrt{3}}\sin\sqrt{3}\left(x-\frac{\pi }{3} \right)$

30. $y=\frac{k_{0}}{r_{2}-r_{1}}\left(r_{2}e^{r_{1}(x-x_{0})}-r_{1}e^{r_{2}(x-x_{0})} \right) +\frac{k_{1}}{r_{2}-r_{1}}\left(e^{r_{2}(x-x_{0})}-e^{r_{1}(x-x_{0})} \right)$

31. $y=e^{r_{1}(x-x_{0})}[k_{0}+(k_{1}-r_{1}k_{0})(x-x_{0})]$

32. $y=e^{\lambda (x-x_{0})}\left[ k_{0}\cos\omega (x-x_{0})+\left(\frac{k_{1}-\lambda k_{0}}{\omega } \right)\sin\omega (x-x_{0}) \right]$

Support Center

How can we help?