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
Click the icon to view information on Laplace transforms.
x(t)= y(t)=

◻
(Type exact answers in terms of
e
and
\pi
.)

Question

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

Click the icon to view information on Laplace transforms.

x(t)=
y(t)=

◻

(Type exact answers in terms of

e

and

\pi

.)

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