Consider the function:
f(t) = { t^2, 0 <= t <= 4
{cost, t>= pi/4
Find the laplace transformation of f(t)
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Use Laplace transforms to solve the initial value problem(dt/dy)+y=f(t), where f(t)=?7 where 0<=t<7 and ?4 wheret>=7 y(t)= for 0<=t<7 y(t)= for t>=7
Using the integral definition of the Laplace Transform, find L{f(t)} for f(t)= t for 0<t<2 and f(t)=e5t for t>2. Be sure to specify any conditions on s.
Consider the piecewise continuous function f(t)=3 where t<=2 andt-6 where t>2. This can be written using step functions as :f(t)= . The Laplace transform is then: L(f(t))=F(s) where F(s)=