Question: how to laplace transform this

February 06 2013 rit 235
Maple

1

http://wenku.baidu.com/view/7d013c8c680203d8ce2f24ee.html

 goal is to evalute to (5.10)

restart;
with(inttrans):
with(SumTools):
r := sqrt(2*p)*exp(p*t)/(i-1)!*Diff((t^(i-1))*exp(-2*p*t),t$(i-1));
L := laplace(r,t,s);
L := int(r*exp(-s*t), t=0..infinity);

no matter laplace it or integrate it, also failed

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