Question 3 (30 Marks) Use the Laplace transform to solve the following initial value problems y' -y 2cos5t, у,-у...
please solve B Question 5: Solve the following initial value problems using Laplace transform BI+2(-1)y+(-2)y-o y(O)-y(0-1 (0)-0, y00 Question 5: Solve the following initial value problems using Laplace transform BI+2(-1)y+(-2)y-o y(O)-y(0-1 (0)-0, y00
QUESTION 3 Use Laplace Transform to solve the initial value problem y" + 9y = f(t) ,y(0) = 1, y'(0) = 3 where 6, f(t) 0 <t<nt i < t < 0
In this exercise we will use the Laplace transform to solve the following initial value problem: y"-2y'+ 17y-17, y(0)=0, y'(0)=1 (1) First, using Y for the Laplace transform of y(t), i.e., Y =L(y(t)), find the equation obtained by taking the Laplace transform of the initial value problem (2) Next solve for Y= (3) Finally apply the inverse Laplace transform to find y(t)
please help (1 point) Use the Laplace transform to solve the following initial value problem: y" + y = 0, y(0) = 1, y'(0) = 1 (1) First, using Y for the Laplace transform of y(t), i.e., Y = L(y(0), find the equation you get by taking the Laplace transform of the differential equation to obtain (2) Next solve for Y = (3) Finally apply the inverse Laplace transform to find y(t) y(t) =
17. Use the Laplace transform to solve the initial value problem: y" + 4y' + 4y = 2e-, y(0) = 1, (O) = 3. 18. Use the Laplace transform to solve the initial value problem: 4y" – 4y + 5y = 4 sin(t) – 4 cos(1), y(0) = 0, y(0) = 11/17.
4) Solve the initial value problem by Laplace Transform (10 marks) y" - 2y' +y = te' y(0) = 1 %3D y'(0) = 1 %3D
Problem D Solve the following initial value problems using the Laplace Transform. To receive full credit, every time you use LAPLACE TRANSFORM FORMULA indicate which one you used 1. y' – 3y = te3t, y(0) = 1 2. y" – 4y = eat, y(0) = 0, y'(0) = 1 3. y' + y = H(t – 5), y(0) = 2
(1 point) Use the Laplace transform to solve the following initial value problem: y" + 6y' - 16y = 0 y(0) = 3, y(0) = 1 First, using Y for the Laplace transform of y(t), i.e., Y = C{y(t)). find the equation you get by taking the Laplace transform of the differential equation = 0 Now solve for Y(s) = and write the above answer in its partial fraction decomposition, Y(S) = Y(s) = A. where a <b Now by...
(4 points) Use the Laplace transform to solve the following initial value problem: y" – 2y + 5y = 0 y(0) = 0, y'(0) = 8 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}| find the equation you get by taking the Laplace transform of the differential equation = 01 Now solve for Y(3) By completing the square in the denominator and inverting the transform, find g(t) =
Use the Laplace transform to solve initial value problems 1. *" + 4x' + 8x = e, x(0) = x'(0) = 0.