Fins the Laplace transfrorm f(t)
Fins the Laplace transfrorm f(t) La Fina f(2)= Cooctus 4-5 GLE 210 t210 460) = 0...
0<t<T when Tt< 2 t 2T sin t when 2. Calculate the Laplace transform of the periodic function f(t) 0 f(t-2) when -7s 3. Calculate the inverse Laplace transform of G(s) 3-4e-5 + $2+2s+17 4. Use the Laplace transform to solve each initial value problem: 4y"+ y u2m(t)sin(t/2) y(0)=0 &(0 =0 (a) 0 and /(0) 2 "+4y+13y = 4to(t-T) if y(0) (b) 5. Use the convolution to write a solution of each initial value problem. y"+6y'+10y g(t) 1 y(0) 0...
Resuelva la siguiente ecuacion integral usando Laplace f(x) sin (t - ) f(t) t+ Resuelva la siguiente ecuacion integral usando Laplace f(x) sin (t - ) f(t) t+
Consider the function f(t) whose Laplace transform F(s) = L{f(t)} = $5+2 We know f(0) = 0 and f'(0) = 4. Answer the following questions. Please write down the numerators and the denominators separately. Use "A" for the power operation, e.g., write s^5 for 5”. • L{f"(t)}= - Lle="r() = - 19(e) = 'ermite – wsin(26) dw, men zl940)= • If g(t) = wf(t – w)s in (2w) dw, then L{g(t)}= • If y(t) = L-'{e-35F(s)}, then y(1) =D and...
Use la transformada de Laplace para resolver la siguiente ED con condiciones iniciales y(0) = 2 y y'(0) = 0 : 36 y + y" = sen(5 t) U2 #(t) A B y(t) = 2 cos(6t) – 1 sen(5 t) U27(t) + sen(6t) U27(t) y(t) = 2 cos(6t) + 1 sen(5 t) U27(t) + sen(6t) U2 (t) y(t) = 2 cos(6t) + 1 sen(5 t) U27(t) - sen(6 t) U2 #(t) y(t) = 2 sen(6t) + 1 cos(5 t) U27(t)...
3. Find the Laplace transform off, where f(t) = 3 + 2 if Ost <3, f(t) = 0 if 3 st < 6 and f is periodic with period 6. 4. Solve y" - 16y = 40e4t y(0) = 5, y(0) = 9 using the Laplace transform.
5) Solve the following equation for f(t), t> 0, using Laplace transforms. 5) Solve the following equation for f(t), t> 0, using Laplace transforms.
Use the Laplace transform to solve the given initial-value problem. 0 st<1 t 1 y' y f(t), y(0) 0, where f(t) (4, ae-1 -(1-1) 4 y(t) X Use the Laplace transform to solve the given initial-value problem. 0 st
Let f(t) be a function on [0, 0). The Laplace transform off is the function F defined by the integral 0 F(s) = 5 estre)dt. Use this definition to determine the Laplace transform of the following function. Fiecie 203-4 =5+qe e3 0<t<5 4. 5<t - 15 for all positive s* and F(s)=5 otherwise The Laplace transform of f(t) is F(s) = (Type exact answers.)
Find the Laplace transform of f(0) = 1, for 0 <t<1 5, for 1<t<2. e-l for t > 2
10. Use the Laplace transform to solve y" - 3y' +2y f(t), y(0)-0,'(0) 0, where (t)-(0 for 0 st < 4; for t 2 4 No credit will be given for any other method. (10 marks)