(1 point) Compute the Laplace transform of fl) = 7, 10Sz<11 6t, if 11 Sz< 0...
I need help with these Laplace problems:) (1 point) Find the Laplace transform of <9 f(t) = { 0, " I(t - 9)?, 129 F(s) = (1 point) Find the inverse Laplace transform of e-75 F(s) = 52 – 2s – 15 f(t) = . (Use step(t-c) for uc(t).) (1 point) Find the Laplace transform of 0. f(t) t<5 112 – 10t + 30, 125 F(s) =
Find the Laplace transform of f(0) = 1, for 0 <t<1 5, for 1<t<2. e-l for t > 2
Please show work! (1 point) Find the Laplace transform F(s) of f(t) { O, t<6 5 sin(at), 6<t<7 0, t> 7 F(8)
(4) Find the Laplace transform of this function: Set if 0 <t <2, 0 if 2 <t.
7. Find the inverse Laplace Transform of X(so2 with ROC-1< Rels) 1.
(1 point) Take the Laplace transform of the following initial value problem and solve for Y(8) = L{y(t)}; ſ1, 0<t<1 y" – 6y' - 27y= { O, 1<t y(0) = 0, y'(0) = 0 Y(8) = (1-e^(-s)(s(s^2-6s-27)) Now find the inverse transform: y(t) = (Notation: write uſt-c) for the Heaviside step function uct) with step at t = c.) Note: 1 | 1 s(8 – 9)(8 + 3) 36 6 10 + s $+37108 8-9
Find the Laplace transform Y(s) = L{y} of the solution of the given initial value problem: 1, y' + 9 = 0<t<T 0,7 <t< y(0) = 5, y'(0) = 4
Express the function below using window and step functions and compute its Laplace transform. 0, 0<t<3 5, 3<t<6 6, 6<t<9 4. 9<t 9) Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. 0 C, 9(t) = 5u(-3) + Quẹt - 6) + 4x(1 - 9) D. g(t)=5113,6(t)+6116, 9(t) + 4u{t-9) Compute the Laplace transform of g(t), (Type an expression using s as the variable)
t <2 2 < t < 3 t23 0, 2 sin(rt), 0, Find the Laplace transform F(s) of f(t) F(s) = hw9,47
4. Find the Laplace transform of the following function. 0 st<1 t + 1 1s1<2 g(t) = 2st<3 01