+91-705-589-3577
FlagBACK
Flag Integral Calculus> Sir i have a boubt in laplace transformat...
question mark

Sir i have a boubt in laplace transformations that is L{t^(-1/2)} is possible or not? if possible what is the answer? if not why?

mamillapelly bhagath , 8 Years ago
Grade 12th pass
anser 2 Answers
Vikas TU
Dear Student,
Using L{t^(n-1/2)} = (2n-1)!root(pi)/2^ns^(n+1/2).
L{t^1/2} = 1.root(pi)/root(s).
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)
Last Activity: 8 Years ago
Nandana
hi !
   you can solve this by using Gamma function
here,
      F(s) =2∫0+infinete t-1/2  e-st dt    [If dual Laplace transform]
             take,
               st =x
               dt = x/s
           = 2 s∫0+infinete (x/s)-1/2  e-x dx
           = 2/√s∫0+infinete (x)-1/2  e-x dx
           =2/√s  Gamma(1/2)
           =2√pi/√s
      If you are thinking about single side Laplace Transform , the answer is
                 √pi /√s                                  
                                         Thank you !
                                          good luck …
Last Activity: 8 Years ago
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Other Related Questions on integral calculus

question mark
The area of a square field is 640000cm2.what is its area in hectares
integral calculus
1 Answer Available

Last Activity: 3 Years ago

question mark
Please solve this integration. I am facing difficulty in it
 How to solve this. Please solve anyone. Humble request
integral calculus
1 Answer Available

Last Activity: 3 Years ago

question mark
Using laplace transform, solve d2y/dt2 + dy/dt = t2 +2t given that y=4 and y’=-2 and t=0
integral calculus
1 Answer Available

Last Activity: 3 Years ago

question mark
If 4th term of an A.p is zero, show that the 8th term is double the 6th term
 
integral calculus
1 Answer Available

Last Activity: 4 Years ago