you can ignore the answer.just solve the problem

5. y" + 4y'+ 3y = e',y(0)= 0,y'(0)=2, (a) find transfer function, 10% (b) find Y(s), 10%, (c) find y(t), 20% (a) Answer: Q = 3 ' +4 5 + 3 (b) Answer: YUS ) = X ( s + 1 ) ( s + 3 ) (c) Answer: jut ) = Fet best + * Calculus procedure y " + 4 y ' + 3 y = et = [ s = y - syco) - y'co > ] + + [ sY - ycoJJ + 3 Y = 3. [ y'Woj= z -) (5 : 7 - 2 ) + 48 * + BY = 3. Q = 32 + 43 + 3 Y =1. Q = 5 + 2 2 Y = 3 ( 5 + 1 ) ( 5 + 3 ) ( 5 + 1 ) ( s + 3 ) = 5 ( 3 + 1 ) ( 3 + 3 ) A C S+ 1 S+ 3 = ] "A c s + 1 ) ( 3 + 3 ) + B S ( s + 3 ) + ( s ( s + 1 ) = 25 + 1.. s = - 1. B = = ; 5= -3. C=- 6 3= 0. A= 3 7 Y = - 5 x +