laplace of y''-y=|sint| y(0)=y'(0)=0
Using the Laplace transform, solve the initial value problem 8. y(0)-0. y" + 4y-sint-u2" sin(t-2r), y(0)-0,
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 /
Solve IVP by the Laplace Transform: y" + y = ezt , given y(0) = 0, y'(O) = 1. a) Identify Y(s) = L{y}. 3) Solve for y(t). 8 a) Y (s) = + $2 b) y(t) = } (e2t – cost + 3 sin t) Both of them None of them 3 2+1 +22+1 O a) Y (s) = -2 b) y(t) = e2t - cost + 3 sint
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)=
(a) Compute the Laplace transform of the following functions. where aa3 sint for Ostat p+a for 12 (1) 8(t) = sin(t)dt (b) Find the inverse Laplace transform of (21 410) *(p+1)*28) (co***)* (P=1%+28) (c) Solve the differential equation 1-1 for Ost<1 JAN for 121 y(0)=1, y'(O) =.
Solve IVP by the Laplace Transform: y" + y = ezt given y(0) = 0, y'(O) = 1. a) Identify Y(s) = L{y} 3) Solve for y(t). Both of them a) Y (8) 21 + 3 52 +1 $-2 b) y(t) = } (e2t - cost + 3 sin t) 1 3 a) Y (8) 8 g2+1 + $-2 g²+1 b) y(t) = 22 cost + 3 sint None of them
sint, 0<t〈π . У(0)=1, y'(0)=0
Question 4 Use the method of Laplace transform to find the solution of the initial value problem Zy" + y' + 4-2 δ(t-r/6) sint, y'(0)-0. y(0)-0, Solution: Question 4 Use the method of Laplace transform to find the solution of the initial value problem Zy" + y' + 4-2 δ(t-r/6) sint, y'(0)-0. y(0)-0, Solution:
[15] 9. By using the Laplace transform method solve the initial value problem Y" + 2y + y = sint, y(0) = 0, y(0) = 0.
Find the Laplace transform of the function f(t). f(t) = sint if o St<$21; f(t) = 0 if t> 21 Click the icon to view a short table of Laplace transforms. F(S) =