- #1
Italo Campoli
- 7
- 0
Homework Statement
Prove that http://www4f.wolframalpha.com/Calculate/MSP/MSP26931c1531g07285beh7000062h7f6g1ggd95eea?MSPStoreType=image/gif&s=5&w=98.&h=38. =http://www4f.wolframalpha.com/Calculate/MSP/MSP6901c153574d0bdbh20000048829f0g4d1fi1d0?MSPStoreType=image/gif&s=5&w=69.&h=35.
The Attempt at a Solution
Using the Def of Laplace i got to ∫[e ^ -st - e ^ -t(s-1)] / t dt ; of course with limits from 0 to infinite
tryed then to do a variable change of w = st but i got inmmerse on a huge process of solving
∫{ [e ^ -w . e ^ (1/s-1)w] / w/s } dw/s , i know that the change was wrong from that point and i have been trying to solve it for parts or another change but haven't got across any luck with that so far
Id appreciate some help or any advice in how to proceed from that point, its the only problem left to finish my homework and its driving me crazy :S
Side Note: i haven´t seen yet Inverse Laplace, but a fellow Math Degree friend told me that using that i might solve it pretty easy.
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