By using the definition of Laplace transform, determine {f(t)) if 153 f(t)-2 35155 12.5. . Find...

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By using the definition of Laplace transform, determine {f(t)) if 153 f(t)-2 35155 12.5. . Find the inverse Laplace transform of the following function :- F(s)=- = (5-7)² +5 (5 Marks/ Markah) (5 Marks/ Markah) Solve the following initial value problem using the Laplace transform - y+y=e" sint, y(0)=0 and y'(0)=1. (15 Marks/ Markah) By using the definition of Laplace transform, determine {f(t)) if 153 f(t)-2 35155 12.5. . Find the inverse Laplace transform of the following function :- F(s)=- = (5-7)² +5 (5 Marks/ Markah) (5 Marks/ Markah) Solve the following initial value problem using the Laplace transform - y+y=e" sint, y(0)=0 and y'(0)=1. (15 Marks/ Markah)