Need help with this Laplace transform

  • Thread starter 13senses
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  • #1
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Can anybody show me how to prove this Laplace transform which leads to a complimentary error function? Thanks!!!


[tex]\int^\infty_0 \frac{\sqrt{a}}{\pi \sqrt{x} (x+a)} e^{-x} dx = e^a erfc(\sqrt{a})[/tex]


I don't know how to separate a factor of [tex]\sqrt{\pi}[/tex] from the laplace transform.
 

Answers and Replies

  • #2
mathman
Science Advisor
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Start with y=√x and manipulate the integrand.
 

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