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Engineering Mathematics III - MTH221 (Mudassar Imran)
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{
~sF(s) #Incomplete.
=sF(s) - f(0) #Correct! This is the derivative property.
~F(s)/s #Wrong.
~F(s) + f(0) #Incorrect.
}
= k/(s^2 - k^2).
~1/(s - k) #Incorrect.
~k/(s^2 + k^2) #No.
}
{
~1/(s^2 - a^2) #Wrong. That’s for cosh(at).
=1/(s - a) #Correct! L{e^(at)} = 1/(s - a).
~s/(s^2 + a^2) #Incorrect.
~a/s #No, that’s not correct.
}
{
~k/(s^2 + k^2) #Wrong. That’s for sin(kt).
=s/(s^2 + k^2) #Correct! L{cos(kt)} = s/(s^2 + k^2).
~1/(s - k) #Incorrect.
~s^2/(s^2 + k^2) #No.
}
= n!/s^(n+1).
~1/s^n #Incorrect.
~s^n/n! #No.
}
= 1/s.
~s #Incorrect.
~e^s #No, that’s not correct.
}