Find the Laplace transform Y(s) = L{y} of the solution of the given initial value problem:...
Find the Laplace transform Y (8) = L {y} of the solution of the given initial value problem. St, 0<t<1 y" + 4y = {i;isica , y0 = 8, Y' (0) = 6 Enclose numerators and denominators in parentheses. For example, (a - b)/(1+n). Y (3) = QE
Find the Laplace transform Y(s)=L{y} of the solution of the given initial value problem. Enclose numerators and denominators in parentheses. For example, (a−b)/(1+n). y" +9y S t, 0<t<1 1, 1<t< , y(0) = 7, y' (0) = 4
Use the Laplace transform to solve the given initial-value problem. so, 0 <t< 1 y' + y = f(t), y(0) = 0, where f(t) 17, t21 y(t) = + ult-
Find the Laplace transform Y (8) = L {y} of the solution of the given initial value problem. y" + 16y S 1, 0 <t<T , YO) = 5, y' (0) = 9 0, <t<oo Enclose numerators and denominators in parentheses. For example, (a - b)/(1+n). Y (8) = Qe
(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
So 0<t<5 Using the Laplace transform, solve the initial value problem y' + y = 3 t5 y'(0) = 0. 9
2. Use the Laplace Transform to solve the initial value problem y"-3y'+2y=h(t), y(O)=0, y'(0)=0, where h (t) = { 0,0<t<4 2, t>4
Please provide step-by-step instruction if possible. Thank you so much! Find the Laplace transform Y (8) = L {y} of the solution of the given initial value problem. y" + 16 = S 1,0<t< , y(0) = 3, y' (0) = 2 0, <t<oo Enclose numerators and denominators in parentheses. For example, (a - b)/(1+n). Y (8) = c[1]*cos(4*t)+c[2]* sin(4*t)+1 Qe
4. Use the Laplace transform to solve the initial value problem y" + y = f(1) = -2, ost<2 13t+4, 122 y(0) = 0, y'(0) = -1
Find the solution of the given initial value problem: y" + y = f(t); y(0) = 6, y'(0) = 3 where f(t) = 1, 0<t<3 0, įst<<