Solve the initial value problem. y'" – 3y" - y' + 3y = 0; y(0)=5, y'0)...
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:
(1 point) Solve the initial value problem (5 + 2?)y" + 3y = 0, y(0) = 0, y'(0) = 11. If the solution is y=+40+222 +2323 +4424 +0525 +0626 +0,27 +..., enter the following coefficients: co= 0 4 = 11
Solve the initial-value problem. a) y', _ y'-12y = 0, y(0) = 3, y'(0) = 5 b) y"-4y'+3y 9x2 +4, y(0)-6, y(0) 8 Solve the initial-value problem. a) y', _ y'-12y = 0, y(0) = 3, y'(0) = 5 b) y"-4y'+3y 9x2 +4, y(0)-6, y(0) 8
Solve the initial value problem using the method of the laplace transform. y"-4y'+3y=e^t,y(0)=0,y'(0)=5
#6 Solve the initial value problem y(0)- 2, y,(0) 1 y"-3y' + 2y-6(t-3);
9. Solve the initial value problem using the Laplace transform y" + 3y = f(t), y(0) = 0, y(0) = 1, where f(t) = { ( 1 home s 2, if 0 <t<5 1, if t > 5 (6
se the Laplace transform to solve the given initial-value problem. y' + 3y = e5t, y(0) = 2 y(t) =
Solve the following initial-value problem. y" + 3y + 4y = 282(t) - 385(t) y(0) = 1, y'(0) = -2
(1 point) Consider the initial value problem y' + 3y = 0 if 0 <t <3 9 if 3 < t < 5 0 if 5 <t< oo, y(0) = 3. (a) Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y by Y. Do not move any terms from one side of the equation to the other (until you get to part (b) below). y(s)(5+6)...
Solve the following initial value problem: Sear= -3y + 15 1 y(0) = 8 y(t) =