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Differential EquationsEasyLaplace Transforms

Laplace Transforms · Easy problem

Using L{ta}=Γ(a+1)sa+1\mathcal{L}\{t^{a}\} = \dfrac{\Gamma(a+1)}{s^{a+1}} and Γ ⁣(32)=π2\Gamma\!\left(\tfrac32\right) = \dfrac{\sqrt{\pi}}{2}, find L{t}\mathcal{L}\{\sqrt{t}\} evaluated at s=4s = 4.