4.1: Problems from Math 2560 and 3600

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\def\u{\vskip 0pt} \def\v{\vskip 10pt} \def\w{\vskip 9pt} \def\L

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Callstack:
    at (Courses/University_of_Iowa/Differential_Equations_for_Engineers/04:_Problems_from_Math_2560_3600/4.01:_Problems_from_Math_2560_and_3600), /content/body/p[1]/span, line 1, column 1

copy and paste problems here (may want to use html mode - click on button in upper right of this page). To edit, click on edit at top of webpage (not this box).

To include figures may just want to use screen shots (for each problem, include the name of the file from which it came. For example

From http://homepage.math.uiowa.edu/~idar..._34_F10ANS.txt

1.)  Define:  The LaPlace transform of \(f = {\cal L}(f) = \underline{\hskip 1.6in}\)
\u\u


[4]~~ 1a.)  ${\cal L}(0) = \underline{~~0~~}$
\u


[10]~~ 1b.) ${\cal L}^{-1}({2 \over (s-4)^2 + 5}) = \underline{~~{2 \over \sqrt{5}} e^{4t}sin(t\sqrt{5})~~}$


 ${\cal L}^{-1}({2 \over (s-4)^2 + 5}) =$
${2 \over \sqrt{5}} {\cal L}^{-1}({\sqrt{5} \over (s-4)^2 + 5}) =$
${2 \over \sqrt{5}} e^{4t}sin(t\sqrt{5})$

1.) Define: The LaPlace transform of $f = {\cal L}(f) = \underline{\hskip 1.6in} \vskip 10pt $

[4]~~ 1a.) $ {\cal L}(0) = \underline{~~0~~} \vskip 10pt $<\p>

[10]~~ 1b.) ${\cal L}^{-1}({2 \over (s-4)^2 + 5}) = \underline{~~{2 \over \sqrt{5}} e^{4t}sin(t\sqrt{5})~~}$ ${\cal L}^{-1}({2 \over (s-4)^2 + 5}) =$ ${2 \over \sqrt{5}} {\cal L}^{-1}({\sqrt{5} \over (s-4)^2 + 5}) =$ ${2 \over \sqrt{5}} e^{4t}sin(t\sqrt{5})$

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