Find the inverse Laplace transform of $$F ( s ) = \frac { s ^ { 2 } + 6 s + 18 } { s ( s + 3 ) ( s + 7 ) }$$

Name: Find the inverse Laplace transform of \[F ( s ) = \frac { s ^ { 2 } + 6 s + 18 } { s ( s + 3 ) ( s + 7 ) }\]
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\begin{array} { l } f ( t ) = \left( \frac { 6 } { 7 } + \frac { 25 } { 28 } e ^ { - 7 t } - \frac { 3 } { 4 } e ^ { - 3 t } ight) u ( t ) \f ( t ) = \left( 0.8571 + 0.8929 e ^ { - 7 t } - 0.75 e ^ { - 3 t } ight) u ( t )\end{array}

clear all;
syms t s

F = \left( s ^ { \wedge } 2 + 6 * s + 18 ight) / \left( s ^ { * } ( s + 3 ) * ( s + 7 ) ight)

f = i l a p l a c e ( F )

f = s i m p l i f y ( f )

pretty (f)

f = \operatorname { vpa } ( f , 7 )

Find the Inverse Laplace Transform Of F(s)=s2+6s+18s(s+3)(s+7)F ( s ) = \frac { s ^ { 2 } + 6 s + 18 } { s ( s + 3 ) ( s + 7 ) }F(s)=s(s+3)(s+7)s2+6s+18​

Find the Inverse Laplace Transform Of $F ( s ) = \frac { s ^ { 2 } + 6 s + 18 } { s ( s + 3 ) ( s + 7 ) }$