



(1 point) Let Solve the differential equation using Laplace transforms. t/16-sin(4t)/64+3/4sin(4t)+4cos(4t) ft 4T y(t) = ift>4...
(1 point) Let -13 Solve the differential equation using Laplace transforms ft S 4r t/16-sin(4t)/64+3/4sin(4t)+4cos(4t) y(t) = 3/4sin(4t)+4cos(4t)-pi/4cos(4t)+pi/4 Note: You can earn partial credit on this problem. Preview My Answers Submit Answers Your score was recorded. You have attempted this problem 8 times. You received a score of 50% for this attempt. Your overall recorded score is 50%.
(1 point) Let -13 Solve the differential equation using Laplace transforms ft S 4r t/16-sin(4t)/64+3/4sin(4t)+4cos(4t) y(t) = 3/4sin(4t)+4cos(4t)-pi/4cos(4t)+pi/4 Note: You can earn...
if t < 41 8(t) = 41 if t > 41 Solve the differential equation y(0) = 6, 7(0) = 5 y" +4y = g(t), using Laplace transforms. ift < 41 if t > 411
3) Using the Method of Variation of Parameter, solve the following linear differential equation y' (1/t) y 3cos (2t), t > 0, and show that y (t) 2 for large t
Question 1 4 pts Find the Laplace transform of ift <TI, f(t) {i = 0 t-a if <t < 27 0 ift > 27 -TS e TS - -27s 1 s2 $ 1 eans 1 Te27 1 s2 (e-ws e=278) -TTS -27s 1 Te-27 1 s2 s O None of the above
Find the Laplace transform of the function f(t). f(t) = sin 3t if 0 <t< < 41; f(t) = 0 ift> 41 5) Click the icon to view a short table of Laplace transforms. F(s) = 0
Q4 a) Find the general solution of the differential equation Y') + {y(t) = 8(6+1)5; 8>0. Y'8 8 >0. 8(8-1)3 b) Find the inverse Laplace transform y(t) = £ '{Y(3)}, where Y(s) is the solution of part (a). c) Use Laplace transforms to find the solution of the initial value problem ty"(t) – ty' (t) + y(t) = te, y(0) = 0, y(0) = 1, for t > 0. You may use the above results if you find them helpful....
Find the Laplace transform of the function f(t). f(t) = sint if 0 St< $41; f(t) = 0 ift> 41 Click the icon to view a short table of Laplace transforms. F(s)=
15) 5. Use Laplace transforms to solve the initial value problem y" + y = g(t), y'(0) = 0, y(0) = 0, where 0 St< 10, 10 t 20, 0, g(t) = (t-10), 1, t < 20, and describe the qualitative behavior of the solution fort 20
Find the Laplace Transform of f(t)= -1 if t <= 4; f(t) = 1 if
t>4
Find the Laplace Transform of f(t) = - 1 ifts 4; f(t) = 1 if t> 4.
QUESTION 10 Find the Laplace Transform of f(t) = 0 ift<1: f(t) = tiflsts 2: f(t) = 0 ift> 2. ign 5