Homework SourseCompute the Laplace transforms of parts abc and d below Comp
Compute the Laplace transforms of parts a,b,c and d below
Compute the Laplace transforms of parts a, b, c and d below f(t) = squareroot t + 3t g(t) = t =- 2e^3t h(t) = 1 + cos h 5t j(t) = sin 3t cos 3tSolution
1) f(t) = t + 3t
L[ f(t) ] = L[t] + 3L[ t ]
L[ f(t) ] = ( /2ss ) + ( 3/s2 )
2) g(t) = t - 2e3t
L[ g(t) ] = L[ t ] - 2L[ e3t ]
L[ g(t) ] = ( 1/s2 ) - 2( 1 /(s - 3) )
3) h(t) = 1 + cosh(5t)
L[ h(t) ] = L[ 1 ] + L[ cosh(5t) ]
L[ h(t) ] = ( 1/s ) + ( s / (s2 - 25) )
4) j(t) = sin(6t)/2
L[ j(t) ] = L[ sin(6t)/2 ]
L[ j(t) ] = 0.5( 6 / (s2 + 36) )
L[ j(t) ] = ( 3 / (s2 + 36) )
