Use the method of Laplace transforms to solve the given initial value problem. Here,
x^(')
and
y^(')
denote differentiation with respect to
t
.
x^(')-y^(')=u(t-\pi )sint,x(0)=3
3x+y^(')=0,y(0)=3
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x(t)=
y(t)=
◻
(Type exact answers in terms of
e
and
\pi
.)