cos 4t 1:[0,) 3. Solve for y(t): y” +16y = f(t) = { with y(0) = 0 and y'(0) = 0. 0,if tn. Saleserstos se va posar este mai 90 -m70-e Stepl. Answer: y(t) =
Entered Answer Preview Result [e^(-2*1)]*[8*cos((9/5)*1)-14*sin((9/5)*t)] - * (cos(.) – 14 sin(6-)) incorrect The answer above is NOT correct. (1 point) Find y as a function of t if 25y" + 100y + 181y = 0, y(1) = 8, y'(1) = 2. y= e^(-2*t) * (8*cos(9/5*t) -14*sin(9/5*t))
Solve the initial value problem y" + 3y' + 2y = 8(t – 3), y(0) = 2, y'(0) = -2. Answer: y = u3(t) e-(-3) - u3(t)e-2(1-3) + 2e-, y(t) ={ 2e-, t<3, -e-24+6 +2e-l, t>3. 5. [18pt] b) Solve the initial value problem y' (t) = cost + Laplace transforms. +5° 867). cos (t – 7)ds, y(0) – 1 by means of Answer:
9. Solve - cos(x) for 0 <x < 27, t > 0 ax2 at2 y(0, t) y(27, t) = 0 for t 0 y(x, 0) y(x.0)= 0 for 0 <x < 27. at Graph the fortieth partial sum for some values of the time. 11. Solve the telegraph equation au A Bu= c2- at ax2 at2 for 0 x < L, t > 0. A and B are positive constants The boundary conditions are u(0, t) u(L, t)=0 for t...
solve using Laplace transforms (f) y"+y=f(t – 37) cos(t), y(0) = 0, y'(0) = 1. (g) y" + 2y = U(t – 7) +38(t – 37/2) – Ut – 27), y(0) = y'(0) = 0.
5. (13 pts) Solve the following initial value problem: y" + 2y' + y-ul (t)o V"(0) 0. y(0) 0, (t-1), -(t1) cos
Use the Laplace transform to solve dy cost + So y(t) cos(t – t)dt, y(0) = 1 dt
please solve 8-14 8-13. Given the dynamic equations ast) = Ax(t)+ Bu(t) y(t)=Cx(t) I 0 2 0 1 To A = 120 B= 1 C= (a) 1 -1 0 1 [ 0 2 0 1 1 A = 120 B c=1017 (b) (-1 11] -2 1 0 1 A- 7 -2 0 B- C-[1 0 0] A=0 (d) [ 00 -1 832 -} - ic-[1 0] (e) -2 -3 8-14. For the systems described in Prob. 8-13, find the transformation...
8. Solve the equation 1-sin = cos on the interval 03 0<21. (12 pts)
6. Undamped Vibrations: Solve the initial value problem for y(t). y" +y = cos(wt); w2 #1; y(0) = 0; y'(0) = 0. (8) Plot y(t) versus t, for w= -0.2, 0.9 and 6 to observe beats and resonance.