Skip to main content
Mathematics LibreTexts

A.7.4: Section 7.4 Answers

  1. Last updated
  2. Save as PDF
  • Page ID
    43779

    • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    1. \(y=x_{1}x^{-4}+c_{2}x^{-2}\)

    2. \(y=c_{1}x+c_{2}x^{7}\)

    3. \(y = x(c_{1} + c_{2} \ln x)\)

    4. \(y = x^{−2} (c_{1} + c_{2} \ln x)\)

    5. \(y = c_{1} \cos (\ln x) + c_{2} \sin (\ln x)\)

    6. \(y = x^{2} [c_{1} \cos (3 \ln x) + c_{2} \sin (3 \ln x)]\)

    7. \(y=c_{1}x+\frac{c_{2}}{x^{3}}\)

    8. \(y = c_{1}x^{2/3} + c_{2}x^{3/4}\)

    9. \(y = x^{−1/2} (c_{1} + c_{2} \ln x)\)

    10. \(y = c_{1}x+c_{2}x^{1/3}\)

    11. \(y = c_{1}x^{2}+c_{2}x^{1/2}\)

    12. \(y =\frac{1}{x} [c_{1} \cos (2 \ln x) + c_{2} \sin (2 \ln x]\)

    13. \(y = x^{−1/3} (c_{1} + c_{2} \ln x)\)

    14. \(y = x [c_{1} \cos (3 \ln x) + c_{2} \sin (3 \ln x)]\)

    15. \(y=c_{1}x^{3}+\frac{x_{2}}{x^{2}}\)

    16. \(y=\frac{c_{1}}{x}+c_{2}x^{1/2}\)

    17. \(y=x^{2}(c_{1}+c_{2}\ln x)\)

    18. \(y=\frac{1}{x^{2}}\left[c_{1}\cos\left(\frac{1}{\sqrt{2}}\ln x \right)+c_{2}\sin\left(\frac{1}{\sqrt{2}}\ln x \right) \right]\)

    This page titled A.7.4: Section 7.4 Answers is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by William F. Trench.

    1. Back to top
    • Was this article helpful?

    Recommended articles

    1. Article type
      Section or Page
      Author
      William F. Trench
      License
      CC BY-NC-SA
      License Version
      3.0
    2. Tags
      This page has no tags.