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use the laplace transformation 3) y"-ay=ty (6)=0 g'oito Show transcribed image text
Use the Laplace transformation to solve the IVP. y"-6y' + 9y-24-9t, y(0)-2, y' (0)-0 1. Use the Laplace transformation to solve the IVP. y"-6y' + 9y-24-9t, y(0)-2, y' (0)-0 1.
Use Laplace transformation to solve differential equation. *+ 4y = e', y(0) = druge dt - dºg(0)
SOLVE #3 AND #4 PLEASE Use the Laplace transformation to solve the IVP. 1. y"-6y' + 9y-24-9t, y(0)-2, y, (0)-0 2. 9y" - 12y'4y50ey(0)--1,y'(0)2 3. У"-2y'--. 1 2 cos(2t) + 4 sin(2t),y(0)-4,y'(0)-0 Use the Laplace transformation to solve the IVP. 1. y"-6y' + 9y-24-9t, y(0)-2, y, (0)-0 2. 9y" - 12y'4y50ey(0)--1,y'(0)2 3. У"-2y'--. 1 2 cos(2t) + 4 sin(2t),y(0)-4,y'(0)-0
7. Use the method of Laplace transform to solve ty" +2(2t - 1)y' +4(t – 1)y = 0 with y(0) = a y'(0) = b
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),
Find the laplace transformation for the IVP y''+y=Aδ(t−π/2), y(0)=1, y′(0)=0
use Laplace transforms to solve the given system of differential equations ponts) 6)) Use Laplace transforms to solve the system dc y = 2x-2y dt.dt dx _ ay = x - y dt at x(O) = 1, y(0) = 0
Solve for y(t) using Laplace Transformation. [20 Points] y"(t) - y(t) = 0 when y(0) = 0, y'(0) = 1, y"(0) = 0, y'(0) = 0
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
Peoblem 3: Solve the following problems Problem 3. Solve the following problems: (a) y+ ty -y-0, y(0)-0, (0) 1. (b) ty"+(1 -2t)-2y0, y(0) 1, y'(0) -2 (c) ty" + (t-1)/-y 0, y(0) 5, lime y(t) 0. t-+00 Problem 3. Solve the following problems: (a) y+ ty -y-0, y(0)-0, (0) 1. (b) ty"+(1 -2t)-2y0, y(0) 1, y'(0) -2 (c) ty" + (t-1)/-y 0, y(0) 5, lime y(t) 0. t-+00