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→Examples: may add more examples; comment out the example 1 subsection for now
==Examples==
==Examples==
===Example 1===
<!--===Example 1===-->
Consider the following initial value problem
Consider the following initial value problem
:<math>y'+y=e^{at}</math>
:<math>y'+y=e^{at}</math>
:<math>y=\frac{1}{a+1}\left(e^{at}-e^{-t} \right)</math>
:<math>y=\frac{1}{a+1}\left(e^{at}-e^{-t} \right)</math>
==References==
==References==
*D. Lomen and D. Lovelock, ''Differential Equations Graphics. Model. Data.'', John Wiley and Sons, Toronto, 1999.
*D. Lomen and D. Lovelock, ''Differential Equations Graphics. Model. Data.'', John Wiley and Sons, Toronto, 1999.
*[http://mathworld.wolfram.com/LaplaceTransform.html Laplace transform] on Wolfram Mathworld
*[http://mathworld.wolfram.com/LaplaceTransform.html Laplace transform] on Wolfram Mathworld