Solve D Using Laplace transform to solve initial value problem: D.E to A.E., solving A.E., then find
L^(-1){F(s)}
(a).
x^('')+4x=sin2t,x(0)=x^(')(0)=0
. (b).
x^(')=4x+2y,y^(')=3x-y;x(0)=3,y(0)=-2
; (c).
tx^('')-2x^(')+tx=0,x(0)=0
. (d).
tx^('')-2x^(')+tx=0,x(0)=1
. (f)* Can you find the general solution to
tx^('')-2x^(')+tx=0
?