preview.ipynb

Kernel: SageMath 9.1

# path to bank containing __bank__.xml and *.sage/*.ptx files
library = "clontz-diff-eq"
# objective in bank to preview: {objective}.sage/.ptx
objective = "C5"


# loads and displays an example generated exercise
from IPython.core.display import display, HTML
oldwd=os.getcwd();os.chdir("..");load("main.sage");os.chdir(oldwd)
oldwd=os.getcwd();os.chdir(library)
load(f"{objective}.sage")
with open(f"{objective}.ptx",'r') as template_file:
    template = template_file.read()
os.chdir(oldwd)

exercise = Exercise(
    name=objective+" Title",
    slug=objective,
    generator=generator,
    template=template
)
display(HTML(exercise.html()))
exercise.preview()

Data XML
-----------
<data>
  <ode> 29 \, \cos\left(5 \, t\right) = -4 \, {y} + {y''} </ode>
  <ode_sol> {y} = k_{2} e^{\left(2 \, t\right)} + k_{1} e^{\left(-2 \, t\right)} - \cos\left(5 \, t\right) </ode_sol>
</data>


HTML source
-----------
<div class="exercise">
  <div class="exercise-statement">
    <p>Explain how to find the general solution to the given ODE.</p>
    <p>\[ 29 \, \cos\left(5 \, t\right) = -4 \, {y} + {y''} \]</p>
  </div>
  <div class="exercise-answer">
    <p>
      <b>Answer:</b>
    </p>
    <p>\[ {y} = k_{2} e^{\left(2 \, t\right)} + k_{1} e^{\left(-2 \, t\right)} - \cos\left(5 \, t\right) \]</p>
  </div>
</div>


LaTeX source
------------

\begin{exerciseStatement}


Explain how to find the general solution to the given ODE.

\[ 29 \, \cos\left(5 \, t\right) = -4 \, {y} + {y''} \]
\end{exerciseStatement}
    
\begin{exerciseAnswer} 
\[ {y} = k_{2} e^{\left(2 \, t\right)} + k_{1} e^{\left(-2 \, t\right)} - \cos\left(5 \, t\right) \]
\end{exerciseAnswer}
    

QTI source
------------
<item ident="C5-9060" title="C5 | C5 Title | ver. 9060">
  <itemmetadata>
    <qtimetadata>
      <qtimetadatafield>
        <fieldlabel>question_type</fieldlabel>
        <fieldentry>essay_question</fieldentry>
      </qtimetadatafield>
    </qtimetadata>
  </itemmetadata>
  <presentation>
    <material>
      <mattextxml>
        <div class="exercise-statement">
          <p>
            <strong>C5.</strong>
          </p>
          <p>Explain how to find the general solution to the given ODE.</p>
          <p style="text-align:center;">
            <img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?29 \, \cos\left(5 \, t\right) = -4 \, {y} + {y''}" alt="29 \, \cos\left(5 \, t\right) = -4 \, {y} + {y''}" title="29 \, \cos\left(5 \, t\right) = -4 \, {y} + {y''}" data-latex="29 \, \cos\left(5 \, t\right) = -4 \, {y} + {y''}"/>
          </p>
        </div>
      </mattextxml>
      <mattext texttype="text/html">&lt;div class="exercise-statement"&gt;
  &lt;p&gt;
    &lt;strong&gt;C5.&lt;/strong&gt;
  &lt;/p&gt;
  &lt;p&gt;Explain how to find the general solution to the given ODE.&lt;/p&gt;
  &lt;p style="text-align:center;"&gt;
    &lt;img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?29%20%5C,%20%5Ccos%5Cleft(5%20%5C,%20t%5Cright)%20=%20-4%20%5C,%20%7By%7D%20+%20%7By''%7D" alt="29 \, \cos\left(5 \, t\right) = -4 \, {y} + {y''}" title="29 \, \cos\left(5 \, t\right) = -4 \, {y} + {y''}" data-latex="29 \, \cos\left(5 \, t\right) = -4 \, {y} + {y''}"&gt;
  &lt;/p&gt;
&lt;/div&gt;

</mattext>
    </material>
    <response_str ident="response1" rcardinality="Single">
      <render_fib>
        <response_label ident="answer1" rshuffle="No"/>
      </render_fib>
    </response_str>
  </presentation>
  <itemfeedback ident="general_fb">
    <flow_mat>
      <material>
        <mattextxml>
          <div class="exercise-answer">
            <h4>Partial Answer:</h4>
            <p style="text-align:center;">
              <img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?{y} = k_{2} e^{\left(2 \, t\right)} + k_{1} e^{\left(-2 \, t\right)} - \cos\left(5 \, t\right)" alt="{y} = k_{2} e^{\left(2 \, t\right)} + k_{1} e^{\left(-2 \, t\right)} - \cos\left(5 \, t\right)" title="{y} = k_{2} e^{\left(2 \, t\right)} + k_{1} e^{\left(-2 \, t\right)} - \cos\left(5 \, t\right)" data-latex="{y} = k_{2} e^{\left(2 \, t\right)} + k_{1} e^{\left(-2 \, t\right)} - \cos\left(5 \, t\right)"/>
            </p>
          </div>
        </mattextxml>
        <mattext texttype="text/html">&lt;div class="exercise-answer"&gt;
  &lt;h4&gt;Partial Answer:&lt;/h4&gt;
  &lt;p style="text-align:center;"&gt;
    &lt;img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?%7By%7D%20=%20k_%7B2%7D%20e%5E%7B%5Cleft(2%20%5C,%20t%5Cright)%7D%20+%20k_%7B1%7D%20e%5E%7B%5Cleft(-2%20%5C,%20t%5Cright)%7D%20-%20%5Ccos%5Cleft(5%20%5C,%20t%5Cright)" alt="{y} = k_{2} e^{\left(2 \, t\right)} + k_{1} e^{\left(-2 \, t\right)} - \cos\left(5 \, t\right)" title="{y} = k_{2} e^{\left(2 \, t\right)} + k_{1} e^{\left(-2 \, t\right)} - \cos\left(5 \, t\right)" data-latex="{y} = k_{2} e^{\left(2 \, t\right)} + k_{1} e^{\left(-2 \, t\right)} - \cos\left(5 \, t\right)"&gt;
  &lt;/p&gt;
&lt;/div&gt;

</mattext>
      </material>
    </flow_mat>
  </itemfeedback>
</item>


PreTeXt source
------------
<exercise masterit-seed="9060" masterit-slug="C5" masterit-name="C5 Title">
  <statement>
    <p>Explain how to find the general solution to the given ODE.</p>
    <me> 29 \, \cos\left(5 \, t\right) = -4 \, {y} + {y''} </me>
  </statement>
  <answer>
    <me> {y} = k_{2} e^{\left(2 \, t\right)} + k_{1} e^{\left(-2 \, t\right)} - \cos\left(5 \, t\right) </me>
  </answer>
</exercise>