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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
Use the Laplace transform to solve the IVP y"(t) + 6y'(t) + 9y(t) = e2t y(0) = 0 y'(0) 1
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.
(3) Solve the IVP + 6y(t) + 9 Sy()dt = 1, y(0) = 0. (4) Find a(t) that satisfies e(t) = e-t +S* sinh(t – 7)2(7) dt.
pls do all questions. thanx 1. [5 Consider the IVP rty(t) + 2 sin(t)y(t) = tan(t) y(5)=2 Does a unique solution of the IVP exist? Do not solve the IVP but fully justify you answer. What is the IOE? 2. 4 Consider the ODE Using undetermined coefficients, what is an approprite guess for the coefficient (s) in yp but fully justify you answer. ? Do not solve for 3. [10] Solve the IVP. Use any approach you like y(x) 6y'(x)...
Solve 6y" - 6y' + 9y = t^2e^3t .... y(0)=0 & y'(0)=0 An initial Value Problem Sove: y'-6y +9y=t&t, y(O) = 0 , Y'()=0 Please Solve this IVP.
1) Solve the following ODE with IVP 2y" + 6y' - 8y = 0 y(0) = 4 y'(0) = -1
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
y" – y' - 6y = 0; y(0) = 2, y' (O) = -1 Use the Laplace transform technique to solve the following IVP (no credit will be use another technique). y" + y = (t - 1); y(0) = 0, y'(0) = 1
Consider the IVP y'' + 3y' + 3y = (1 − u(t − 4)) with y'(0) = 0 and y(0) = 0. Solve the differential equation, and if possible, provide a graph