3. Solve the following LTI ODE's using the Laplace transformation (a) +3y 0, y(0) 1, y(0) 2 (b) 3y sin(t), y(0) 0, (0 0 (c) 3y sin(t), y(0) 1, (0) 2 y-Sin(t),
Solve each of the following.
7. Solve each of the following: (a) y" - 3y' + 2y = 0 (d) y" - 4y' + 5y = 0 (b) y" - 10y' + 25y = 0. (C) y" + 3y' - 5y = 0 (e) y" + y = 0 subject to y(1/3) = 0, y' (1/3) = 2
Solve without using laplace 1. 3y" – 8y' – 3y=0 y(0)=10, y'(0)=0
Solve the initial value problem. y'" – 3y" - y' + 3y = 0; y(0)=5, y'0) = -3. y'(0)=5 The solution is y(t) =
Problem 1: Solve the initial value problems: a 2y" – 3y' +y=0 y(0) = 2, 7(0) = 1 by' + y - 6y = 0 y(0) = -1, y'(0) = 2 cy' + 4y + 3y = 0 y(0) = 1, y'(0) = 0 Problem 2: Solve the initial value problems: a y' +9y = 0 y(0) = 1. 1'(0) = -1 by" - 4y + 13y = 0 y(0) = 1, y'(0) = 3 cy" + ly + ly...
Solve the IVP using laplace transformation
y”+3y=(t-2)u(t-1)
y(0)=-1
y’(0)=2
Solve the IVP usiag laplace transformahbn 3y (t-2) u (t-1) (0) 2 yo)-1
Solve the IVP usiag laplace transformahbn 3y (t-2) u (t-1) (0) 2 yo)-1
(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 following initial value problem: Sear= -3y + 15 1 y(0) = 8 y(t) =
Solve the following initial-value problem. y" + 3y + 4y = 282(t) - 385(t) y(0) = 1, y'(0) = -2
Solve the difference equationy(n + 2) + 4y(n + 1) +3y(n) = 3n with y(0) =0, y(1) = 1