Find the laplace transformation for the IVP
y''+y=Aδ(t−π/2), y(0)=1, y′(0)=0
Find the laplace transformation for the IVP y''+y=Aδ(t−π/2), y(0)=1, y′(0)=0
Solve the IVP using laplace transformation
y”+3y=(t-2)u(t-1)
y(0)=-1
y’(0)=2
Solve the IVP usiag laplace transformahbn 3y (t-2) u (t-1) (0) 2 yo)-1
Solve the IVP usiag laplace transformahbn 3y (t-2) u (t-1) (0) 2 yo)-1
Use the Laplace transformation to solve the IVP. y"-6y' + 9y-24-9t, y(0)-2, y' (0)-0 1.
Use the Laplace transformation to solve the IVP. y"-6y' + 9y-24-9t, y(0)-2, y' (0)-0 1.
a=0
find the solution of IVP y" +(a +1)y = e(6+1)t, y(0) = 0,4(0) = 2 using Laplace transform.
SOLVE #3 AND #4 PLEASE
Use the Laplace transformation to solve the IVP. 1. y"-6y' + 9y-24-9t, y(0)-2, y, (0)-0 2. 9y" - 12y'4y50ey(0)--1,y'(0)2 3. У"-2y'--. 1 2 cos(2t) + 4 sin(2t),y(0)-4,y'(0)-0
Use the Laplace transformation to solve the IVP. 1. y"-6y' + 9y-24-9t, y(0)-2, y, (0)-0 2. 9y" - 12y'4y50ey(0)--1,y'(0)2 3. У"-2y'--. 1 2 cos(2t) + 4 sin(2t),y(0)-4,y'(0)-0
Use the Laplace Transform to solve the IVP
y" - y = 2e t, y(0) = 0, y'(0) = 1
Consider the following IVP
y″ + 5y′ +
y = f (t), y(0) = 3,
y′(0) = 0,
where
f (t) =
{
8
0 ≤ t ≤ 2π
cos(7t)
t > 2π
(a)
Find the Laplace transform F(s) =
ℒ { f (t)} of f (t).
(b)
Find the Laplace transform Y(s) =
ℒ {y(t)} of the solution y(t)
of the above IVP.
Consider the following IVP y" + 5y' + y = f(t), y(0) = 3, y'(0) =...
Use the Laplace transform to solve the IVP y"(t) + 6y'(t) + 9y(t) = e2t y(0) = 0 y'(0) 1
7.4 Solve the Laplace equation Δ11-0 in the square 0 < x, y < π, subject to the bound- ary condition 11(0, y) u(T, y) = 0. 11(x, 0) = 11(x, π) = 1, = 1/(π, y) =
7.4 Solve the Laplace equation Δ11-0 in the square 0
(1 point) Take the Laplace transform of the IVP dy -1 di - y= 0, y(0) = 6 Use Y for the Laplace transform of y, (not Y(s)). II So Y= S- and y(t) =
IVP Use the Laplace Transform to solve the y"+y = f(t) y'ld-o, y(0)=0 where f(t) = { 1 Oste/ sint tz /