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Laplace Transform - 7 (in Hindi)
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Shrenik Jain is teaching live on Unacademy Plus

Shrenik Jain
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L(e^-at t^2) =n!/(s+a)^3 = 2/(s+a)^3
while solving the integration by UV rule, you didnt consider the infinity while putting in the limits to get the answer. Why is that?
Shrenik Jain
6 months ago
I have considered.
L { e^-at. t^2} = 2/ (s+a)^3
L{ u (t+7)} = e^7s. 1/s
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  2. t 73 piece wise function Do 3 St -st 13 2/ e 3S

  3. 60 TRICK St- 3 V U St -s-t 3 3s ANS F(5)-at +1.ess

  4. then Important note for GATE ENAM

  5. SHIFTING PRDPERTy - F(S) = a L eat f(t)): F (sta)

  6. 2 NOTE s-a

  7. IMPORTANT PO INT: L-T >Fix the shifted part e5*) IX Now LT of nomal ncio -> Final anse

  8. ExAmPLES -3t f (t) e3 sin 2t Fs)-? 3 t- 2